How to find the length of the side of a right triangle - SSAT Upper Level Quantitative
Card 0 of 64
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 see back →
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:
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
Tap to see back →
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:
Plugging in our given values:
Subtracting
Taking the square root of each side of the equation:
Simplifying the square root:
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
Tap to see back →
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:
Plugging in our given values:
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
Tap to see back →
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:
Plugging in our given values:
Subtracting
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
Find the length of the missing side.
Find the length of the missing side.
Tap to see back →
Use the Pythagorean Theorem to find the length of the missing side.
Use the Pythagorean Theorem to find the length of the missing side.
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 see back →
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:
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
Tap to see back →
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:
Plugging in our given values:
Subtracting
Taking the square root of each side of the equation:
Simplifying the square root:
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
Tap to see back →
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:
Plugging in our given values:
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
Tap to see back →
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:
Plugging in our given values:
Subtracting