How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem - SSAT Upper Level Quantitative
Card 1 of 24
The base and height of a right triangle are each 1 inch. What is the hypotenuse?
The base and height of a right triangle are each 1 inch. What is the hypotenuse?
Tap to reveal answer
You need to use the Pythagorean Theorem, which is 
.
Add the first two values and you get 
. Take the square root of both sides and you get 
.
You need to use the Pythagorean Theorem, which is
Add the first two values and you get
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Give the perimeter of the above parallelogram if 
.
Give the perimeter of the above parallelogram if
Tap to reveal answer
By the 
Theorem:
, and
The perimeter of the parallelogram is
By the
The perimeter of the parallelogram is
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A right triangle has legs with lengths of 
units and 
units. What is the length of the hypotenuse?
A right triangle has legs with lengths of
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Using the numbers given to us by the question,
units
Using the numbers given to us by the question,
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A right triangle has legs with the lengths 
and 
. Find the length of the hypotenuse.
A right triangle has legs with the lengths
Tap to reveal answer
Use the Pythagorean Theorem to find the length of the hypotenuse.
Use the Pythagorean Theorem to find the length of the hypotenuse.
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Find the length of the hypotenuse in the right triangle below.
Find the length of the hypotenuse in the right triangle below.
Tap to reveal answer
Use the Pythagorean Theorem to find the hypotenuse.
Use the Pythagorean Theorem to find the hypotenuse.
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If James traveled north 
and John traveled 
west from the same town, how many miles away will they be from each other when they reach their destinations?
If James traveled north
Tap to reveal answer
The distances when put together create a right triangle.
The distance between them will be the hypotenuse or the diagonal side.
You use Pythagorean Theorem or 
to find the length.
So you plug 
and 
for 
and 
which gives you,
or 
.
Then you find the square root of each side and that gives you your answer of 
.
The distances when put together create a right triangle.
The distance between them will be the hypotenuse or the diagonal side.
You use Pythagorean Theorem or
So you plug
Then you find the square root of each side and that gives you your answer of
← Didn't Know|Knew It →
A right triangle has legs with the lengths and . Find the length of the hypotenuse.
A right triangle has legs with the lengths
Tap to reveal answer
Use the Pythagorean Theorem to find the length of the hypotenuse.
Use the Pythagorean Theorem to find the length of the hypotenuse.
← Didn't Know|Knew It →
The base and height of a right triangle are each 1 inch. What is the hypotenuse?
The base and height of a right triangle are each 1 inch. What is the hypotenuse?
Tap to reveal answer
You need to use the Pythagorean Theorem, which is .
Add the first two values and you get . Take the square root of both sides and you get .
You need to use the Pythagorean Theorem, which is
Add the first two values and you get
← Didn't Know|Knew It →
Give the perimeter of the above parallelogram if .
Give the perimeter of the above parallelogram if
Tap to reveal answer
By the Theorem:
, and
The perimeter of the parallelogram is
By the
The perimeter of the parallelogram is
← Didn't Know|Knew It →
A right triangle has legs with lengths of units and units. What is the length of the hypotenuse?
A right triangle has legs with lengths of
Tap to reveal answer
Using the numbers given to us by the question,
units
Using the numbers given to us by the question,
← Didn't Know|Knew It →
Find the length of the hypotenuse in the right triangle below.
Find the length of the hypotenuse in the right triangle below.
Tap to reveal answer
Use the Pythagorean Theorem to find the hypotenuse.
Use the Pythagorean Theorem to find the hypotenuse.
← Didn't Know|Knew It →
If James traveled north and John traveled west from the same town, how many miles away will they be from each other when they reach their destinations?
If James traveled north
Tap to reveal answer
The distances when put together create a right triangle.
The distance between them will be the hypotenuse or the diagonal side.
You use Pythagorean Theorem or to find the length.
So you plug and for and which gives you,
or .
Then you find the square root of each side and that gives you your answer of .
The distances when put together create a right triangle.
The distance between them will be the hypotenuse or the diagonal side.
You use Pythagorean Theorem or
So you plug
Then you find the square root of each side and that gives you your answer of
← Didn't Know|Knew It →
The base and height of a right triangle are each 1 inch. What is the hypotenuse?
The base and height of a right triangle are each 1 inch. What is the hypotenuse?
Tap to reveal answer
You need to use the Pythagorean Theorem, which is .
Add the first two values and you get . Take the square root of both sides and you get .
You need to use the Pythagorean Theorem, which is
Add the first two values and you get
← Didn't Know|Knew It →
Give the perimeter of the above parallelogram if .
Give the perimeter of the above parallelogram if
Tap to reveal answer
By the Theorem:
, and
The perimeter of the parallelogram is
By the
The perimeter of the parallelogram is
← Didn't Know|Knew It →
A right triangle has legs with lengths of units and units. What is the length of the hypotenuse?
A right triangle has legs with lengths of
Tap to reveal answer
Using the numbers given to us by the question,
units
Using the numbers given to us by the question,
← Didn't Know|Knew It →
A right triangle has legs with the lengths and . Find the length of the hypotenuse.
A right triangle has legs with the lengths
Tap to reveal answer
Use the Pythagorean Theorem to find the length of the hypotenuse.
Use the Pythagorean Theorem to find the length of the hypotenuse.
← Didn't Know|Knew It →
Find the length of the hypotenuse in the right triangle below.
Find the length of the hypotenuse in the right triangle below.
Tap to reveal answer
Use the Pythagorean Theorem to find the hypotenuse.
Use the Pythagorean Theorem to find the hypotenuse.
← Didn't Know|Knew It →
If James traveled north and John traveled west from the same town, how many miles away will they be from each other when they reach their destinations?
If James traveled north
Tap to reveal answer
The distances when put together create a right triangle.
The distance between them will be the hypotenuse or the diagonal side.
You use Pythagorean Theorem or to find the length.
So you plug and for and which gives you,
or .
Then you find the square root of each side and that gives you your answer of .
The distances when put together create a right triangle.
The distance between them will be the hypotenuse or the diagonal side.
You use Pythagorean Theorem or
So you plug
Then you find the square root of each side and that gives you your answer of
← Didn't Know|Knew It →
A right triangle has legs with the lengths and . Find the length of the hypotenuse.
A right triangle has legs with the lengths
Tap to reveal answer
Use the Pythagorean Theorem to find the length of the hypotenuse.
Use the Pythagorean Theorem to find the length of the hypotenuse.
← Didn't Know|Knew It →
The base and height of a right triangle are each 1 inch. What is the hypotenuse?
The base and height of a right triangle are each 1 inch. What is the hypotenuse?
Tap to reveal answer
You need to use the Pythagorean Theorem, which is .
Add the first two values and you get . Take the square root of both sides and you get .
You need to use the Pythagorean Theorem, which is
Add the first two values and you get
← Didn't Know|Knew It →