How to find the perimeter of an acute / obtuse triangle - Math
Card 0 of 108
Find the value of 
if the perimeter is 
.
Find the value of
The dashes on the two sides of the triangle indicate that those two sides are congruent. Thus, the length of the missing side is 
also.
Now, use the information given about the perimeter to set up an equation to solve for 
. The sum of all the sides will give the perimeter.
The dashes on the two sides of the triangle indicate that those two sides are congruent. Thus, the length of the missing side is
Now, use the information given about the perimeter to set up an equation to solve for
Compare your answer with the correct one above
Find the perimeter of the triangle below. Round to the nearest tenths place.
Find the perimeter of the triangle below. Round to the nearest tenths place.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a 
triangle, where the long leg is the length of the short leg times 
and the hypotenuse is two times the length of the short side. We can find out that the height of the triangle is 
since it is the short leg and the hypotenuse is 
.
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are 
.
Now, add up these side lengths to find the perimeter.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are
Now, add up these side lengths to find the perimeter.
Compare your answer with the correct one above
An acute isosceles triangle has an area of 
square units and a base with length 
. Find the perimeter of this triangle.
An acute isosceles triangle has an area of
To solve this problem, first work backwards using the formula:
Plugging in the given information and solving for height.
Now that you've found the height of the triangle, use the Pythagorean Theorem to find the length of one of the equivalent sides of the triangle.
(Note, when applying the formula divide the measurement of the base in half--so the triangle will have sides of 
and 
.
Thus, the solution is:
In this problem, the isosceles triangle will have two sides with the length of 
and one side length of 
. Therefore, the perimeter is: 
To solve this problem, first work backwards using the formula:
Plugging in the given information and solving for height.
Now that you've found the height of the triangle, use the Pythagorean Theorem to find the length of one of the equivalent sides of the triangle.
(Note, when applying the formula divide the measurement of the base in half--so the triangle will have sides of
Thus, the solution is:
In this problem, the isosceles triangle will have two sides with the length of
Compare your answer with the correct one above
A scalene triangle has sides with lengths of 
foot, 
foot, and 
foot. Find the perimeter of the the triangle (in inches).
A scalene triangle has sides with lengths of
To solve this problem, first convert each of the fractions from feet to inches.
inches
inches
inches
The perimeter of the triangle must equal 
To solve this problem, first convert each of the fractions from feet to inches.
The perimeter of the triangle must equal
Compare your answer with the correct one above
An acute triangle has side lengths of 
and 
. The hypotenuse of the triangle is not 
. Find the perimeter of this triangle.
An acute triangle has side lengths of
Since the two side lengths provided in the question are not the hypotenuse, first use the Pythagorean Theorem to find the length of the third side.
The perimeter is equal to 
.
Since the two side lengths provided in the question are not the hypotenuse, first use the Pythagorean Theorem to find the length of the third side.
The perimeter is equal to
Compare your answer with the correct one above
Find the perimeter of the triangle shown above.
Find the perimeter of the triangle shown above.
Since the two side lengths provided in the question are not the hypotenuse, first use the Pythagorean Theorem to find the length of the third side.
Perimeter is equal to 
.
Since the two side lengths provided in the question are not the hypotenuse, first use the Pythagorean Theorem to find the length of the third side.
Perimeter is equal to
Compare your answer with the correct one above
An obtuse Isosceles triangle has an area of 
square units and a base with length 
. Find the perimeter of this triangle.
An obtuse Isosceles triangle has an area of
To solve this solution, first work backwards using the formula: 
Now that you've found the height of the triangle, use the Pythagorean Theorem to find the length of one of the equivalent sides of the triangle.
(Note, when applying the formula divide the measurement of the base in half--so the triangle will have sides of 
and .
Thus, the solution is:
In this problem, the isosceles triangle will have two sides with the length of 
and one side length of 
. Therefore, the perimeter is: 
.
To solve this solution, first work backwards using the formula:
Now that you've found the height of the triangle, use the Pythagorean Theorem to find the length of one of the equivalent sides of the triangle.
(Note, when applying the formula divide the measurement of the base in half--so the triangle will have sides of
Thus, the solution is:
In this problem, the isosceles triangle will have two sides with the length of
Compare your answer with the correct one above
Find the perimeter of the acute isosceles triangle shown above. Note, the triangle has a base of 
and height of 
.
Find the perimeter of the acute isosceles triangle shown above. Note, the triangle has a base of
Use the Pythagorean Theorem to find the length of one of the equivalent sides of the triangle.
(Note, when applying the formula divide the measurement of the base in half--so the triangle will have sides of 
and .
Thus, the solution is:
In this problem, the isosceles triangle will have two sides with the length of 
and one side length of 
. Therefore, the perimeter is: 
.
Use the Pythagorean Theorem to find the length of one of the equivalent sides of the triangle.
(Note, when applying the formula divide the measurement of the base in half--so the triangle will have sides of
Thus, the solution is:
In this problem, the isosceles triangle will have two sides with the length of
Compare your answer with the correct one above
For the triangle below, the perimeter is 
. Find the value of 
.
For the triangle below, the perimeter is
The dashes on the two sides of the triangle indicate that those two sides are congruent. Thus, the length of the missing side is 
also.
Now, use the information given about the perimeter to set up an equation to solve for 
. The sum of all the sides will give the perimeter.
The dashes on the two sides of the triangle indicate that those two sides are congruent. Thus, the length of the missing side is
Now, use the information given about the perimeter to set up an equation to solve for
Compare your answer with the correct one above
Find the value of 
if the perimeter is 
.
Find the value of
The dashes on the two sides of the triangle indicate that those two sides are congruent. Thus, the length of the missing side is 
also.
Now, use the information given about the perimeter to set up an equation to solve for 
. The sum of all the sides will give the perimeter.
The dashes on the two sides of the triangle indicate that those two sides are congruent. Thus, the length of the missing side is
Now, use the information given about the perimeter to set up an equation to solve for
Compare your answer with the correct one above
Find the perimeter of the triangle below. Round to the nearest tenths place.
Find the perimeter of the triangle below. Round to the nearest tenths place.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a 
triangle, where the long leg is the short leg times 
and the hypotenuse is two times the short leg, we can find out that the height of the triangle is 
and the hypotenuse is 
.
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are 
.
Now, add up these side lengths to find the perimeter.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are
Now, add up these side lengths to find the perimeter.
Compare your answer with the correct one above
Find the perimeter of the triangle below. Round to the nearest tenths place.
Find the perimeter of the triangle below. Round to the nearest tenths place.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a 
triangle, where the long leg is the short leg times 
and the hypotenuse is twice the length of the short leg, we can find out that the height of the triangle is 
and the hypotenuse is 
.
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are 
.
Now, add up these side lengths to find the perimeter.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are
Now, add up these side lengths to find the perimeter.
Compare your answer with the correct one above
In terms of 
, find the perimeter.
In terms of
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a 
triangle, we can find out that the height of the triangle is 
and the hypotenuse is 
.
The ratio of the sides in a triangle are: 
.
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are 
.
Now, add up these side lengths to find the perimeter.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a
The ratio of the sides in a
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are
Now, add up these side lengths to find the perimeter.
Compare your answer with the correct one above
In terms of 
, find the perimeter.
In terms of
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a 
triangle, we can find out that the height of the triangle is 
and the hypotenuse is 
.
The ratio of the sides in a triangle are: 
.
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are 
.
Now, add up these side lengths to find the perimeter.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a
The ratio of the sides in a
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are
Now, add up these side lengths to find the perimeter.
Compare your answer with the correct one above
Find the perimeter of the triangle below. Round to the nearest tenths place.
Find the perimeter of the triangle below. Round to the nearest tenths place.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a 
triangle, we can find out that the height of the triangle is 
and the hypotenuse is 
.
The ratio of the sides in a triangle are: 
.
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are 
.
Now, add up these side lengths to find the perimeter.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a
The ratio of the sides in a
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are
Now, add up these side lengths to find the perimeter.
Compare your answer with the correct one above
In terms of 
, find the perimeter of the triangle.
In terms of
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a 
triangle, we can find out that the height of the triangle is 
and the hypotenuse is 
.
The ratio of the sides in a triangle are: 
.
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are 
.
Now, add up these side lengths to find the perimeter.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a
The ratio of the sides in a
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are
Now, add up these side lengths to find the perimeter.
Compare your answer with the correct one above
A triangle is defined by the following points on a coordinate plane: 
What is the perimeter of the triangle?
A triangle is defined by the following points on a coordinate plane:
What is the perimeter of the triangle?
In order to find the perimeter of the triangle, we will first need to find the length of each side of the triangle by using the distance formula.
Recall the distance formula for a line:
The first side of the triangle is the line segment made with 
as its endpoints.
The second side of the triangle is the line segment that has 
as its endpoints.
The third side of the triangle is the line segment that has 
as its endpoints.
Now, add up these three sides with a calculator to find the perimeter of the triangle.
Make sure to round to 
places after the decimal.
In order to find the perimeter of the triangle, we will first need to find the length of each side of the triangle by using the distance formula.
Recall the distance formula for a line:
The first side of the triangle is the line segment made with
The second side of the triangle is the line segment that has
The third side of the triangle is the line segment that has
Now, add up these three sides with a calculator to find the perimeter of the triangle.
Make sure to round to
Compare your answer with the correct one above
A triangle is defined by the following points in a coordinate plane: 
.
What is the perimeter of the triangle?
A triangle is defined by the following points in a coordinate plane:
What is the perimeter of the triangle?
In order to find the perimeter of the triangle, we will first need to find the length of each side of the triangle by using the distance formula.
Recall the distance formula for a line:
The first side of the triangle is the line segment made with 
as its endpoints.
The second side of the triangle is the line segment that has 
as its endpoints.
The third side of the triangle is the line segment that has 
as its endpoints.
Now, add up these three sides with a calculator to find the perimeter of the triangle.
Make sure to round to 
places after the decimal.
In order to find the perimeter of the triangle, we will first need to find the length of each side of the triangle by using the distance formula.
Recall the distance formula for a line:
The first side of the triangle is the line segment made with
The second side of the triangle is the line segment that has
The third side of the triangle is the line segment that has
Now, add up these three sides with a calculator to find the perimeter of the triangle.
Make sure to round to
Compare your answer with the correct one above
A triangle is defined by the following points on a coordinate plane: 
.
What is the perimeter of the triangle?
A triangle is defined by the following points on a coordinate plane:
What is the perimeter of the triangle?
In order to find the perimeter of the triangle, we will first need to find the length of each side of the triangle by using the distance formula.
Recall the distance formula for a line:
The first side of the triangle is the line segment made with 
as its endpoints.
The second side of the triangle is the line segment that has 
as its endpoints.
The third side of the triangle is the line segment that has 
as its endpoints.
Now, add up these three sides with a calculator to find the perimeter of the triangle.
Make sure to round to 
places after the decimal.
In order to find the perimeter of the triangle, we will first need to find the length of each side of the triangle by using the distance formula.
Recall the distance formula for a line:
The first side of the triangle is the line segment made with
The second side of the triangle is the line segment that has
The third side of the triangle is the line segment that has
Now, add up these three sides with a calculator to find the perimeter of the triangle.
Make sure to round to
Compare your answer with the correct one above
A triangle is defined by the following points on a coordinate plane: 
.
What is the perimeter of the triangle?
A triangle is defined by the following points on a coordinate plane:
What is the perimeter of the triangle?
In order to find the perimeter of the triangle, we will first need to find the length of each side of the triangle by using the distance formula.
Recall the distance formula for a line:
The first side of the triangle is the line segment made with 
as its endpoints.
The second side of the triangle is the line segment that has 
as its endpoints.
The third side of the triangle is the line segment that has 
as its endpoints.
Now, add up these three sides with a calculator to find the perimeter of the triangle.
Make sure to round to 
places after the decimal.
In order to find the perimeter of the triangle, we will first need to find the length of each side of the triangle by using the distance formula.
Recall the distance formula for a line:
The first side of the triangle is the line segment made with
The second side of the triangle is the line segment that has
The third side of the triangle is the line segment that has
Now, add up these three sides with a calculator to find the perimeter of the triangle.
Make sure to round to
Compare your answer with the correct one above