How to find the length of the side of a right triangle - SSAT Upper Level Quantitative
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A right triangle has a hypotenuse of 39 and one leg is 36. What is the length of the other leg?
A right triangle has a hypotenuse of 39 and one leg is 36. What is the length of the other leg?
Tap to reveal answer
You may recognize these numbers as multiples of 13 and 12 (each by a factor of 3) and remember that sides of length 5, 12 and 13 make a special right triangle. So the other leg would be 15
.
If you don't remember this, you can use Pythagorean theorem:


You may recognize these numbers as multiples of 13 and 12 (each by a factor of 3) and remember that sides of length 5, 12 and 13 make a special right triangle. So the other leg would be 15 .
If you don't remember this, you can use Pythagorean theorem:
← Didn't Know|Knew It →
A right triangle has a hypotenuse of
and one leg has a length of
. What is the length of the other leg?
A right triangle has a hypotenuse of and one leg has a length of
. What is the length of the other leg?
Tap to reveal answer
When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:

Subtracting
from each side of the equation:



Taking the square root of each side of the equation:

Simplifying the square root:


When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:
Subtracting from each side of the equation:
Taking the square root of each side of the equation:
Simplifying the square root:
← Didn't Know|Knew It →
A right triangle has two legs of length
and
, respectively. What is the hypotenuse of the right triangle?
A right triangle has two legs of length and
, respectively. What is the hypotenuse of the right triangle?
Tap to reveal answer
When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:







When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:
← Didn't Know|Knew It →
A right triangle has a leg of length
and a hypotenuse of length
. What is the length of the other leg?
A right triangle has a leg of length and a hypotenuse of length
. What is the length of the other leg?
Tap to reveal answer
When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:

Subtracting
from each side of the equation:






When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:
Subtracting from each side of the equation:
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
Find the length of the missing side.

Find the length of the missing side.

Tap to reveal answer
Use the Pythagorean Theorem to find the length of the missing side.




Use the Pythagorean Theorem to find the length of the missing side.
← Didn't Know|Knew It →
A right triangle has a hypotenuse of 39 and one leg is 36. What is the length of the other leg?
A right triangle has a hypotenuse of 39 and one leg is 36. What is the length of the other leg?
Tap to reveal answer
You may recognize these numbers as multiples of 13 and 12 (each by a factor of 3) and remember that sides of length 5, 12 and 13 make a special right triangle. So the other leg would be 15
.
If you don't remember this, you can use Pythagorean theorem:


You may recognize these numbers as multiples of 13 and 12 (each by a factor of 3) and remember that sides of length 5, 12 and 13 make a special right triangle. So the other leg would be 15 .
If you don't remember this, you can use Pythagorean theorem:
← Didn't Know|Knew It →
A right triangle has a hypotenuse of
and one leg has a length of
. What is the length of the other leg?
A right triangle has a hypotenuse of and one leg has a length of
. What is the length of the other leg?
Tap to reveal answer
When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:

Subtracting
from each side of the equation:



Taking the square root of each side of the equation:

Simplifying the square root:


When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:
Subtracting from each side of the equation:
Taking the square root of each side of the equation:
Simplifying the square root:
← Didn't Know|Knew It →
A right triangle has two legs of length
and
, respectively. What is the hypotenuse of the right triangle?
A right triangle has two legs of length and
, respectively. What is the hypotenuse of the right triangle?
Tap to reveal answer
When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:







When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:
← Didn't Know|Knew It →
A right triangle has a leg of length
and a hypotenuse of length
. What is the length of the other leg?
A right triangle has a leg of length and a hypotenuse of length
. What is the length of the other leg?
Tap to reveal answer
When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:

Subtracting
from each side of the equation:






When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:
, where
and
are legs of the triangle and
is the hypotenuse.
Plugging in our given values:
Subtracting from each side of the equation:
← Didn't Know|Knew It →