Calculating the length of the hypotenuse of a right triangle : Pythagorean Theorem - GMAT Quantitative

To find a length of a side in a right triangle, we can use the Pythagorean theorem:

We are given the length of the height and the base, so we can use the Pythagorean theorem to calculate the length of the hypotenuse:

In order to find the value of the hypotenuse , we need to plug the values of the legs and into the Pythagorean Theorem:

In order to find the value of the hypotenuse , we need to plug the values of the legs and into the Pythagorean Theorem:

In order to find the value of the hypotenuse given area and leg length , we first need to calculate the length of the other leg length . Given the area equation :

Plugging in and :

Now we need to plug the values of the legs and into the Pythagorean Theorem:

The hypotenuse of a triangle has length times that of a leg, which here is

.

For starters, we know that the hypotenuse is the longest side of a triangle, so we can immediately cross off 25 as an answer choice because it is smaller than one of the legs, 48. To find the hypotenuse, we can use the Pythagorean Theorem.

$hypotenuse^{^{2}$} = $14^{2}$ + $48^{2}$ = 2500

hypotenuse = 50

To find a length of a side in a right triangle, we can use the Pythagorean theorem:

We are given the length of the height and the base, so we can use the Pythagorean theorem to calculate the length of the hypotenuse:

In order to find the value of the hypotenuse , we need to plug the values of the legs and into the Pythagorean Theorem:

In order to find the value of the hypotenuse , we need to plug the values of the legs and into the Pythagorean Theorem:

In order to find the value of the hypotenuse given area and leg length , we first need to calculate the length of the other leg length . Given the area equation :

Plugging in and :

Now we need to plug the values of the legs and into the Pythagorean Theorem:

The hypotenuse of a triangle has length times that of a leg, which here is

.

For starters, we know that the hypotenuse is the longest side of a triangle, so we can immediately cross off 25 as an answer choice because it is smaller than one of the legs, 48. To find the hypotenuse, we can use the Pythagorean Theorem.

$hypotenuse^{^{2}$} = $14^{2}$ + $48^{2}$ = 2500

hypotenuse = 50

To find a length of a side in a right triangle, we can use the Pythagorean theorem:

We are given the length of the height and the base, so we can use the Pythagorean theorem to calculate the length of the hypotenuse:

In order to find the value of the hypotenuse , we need to plug the values of the legs and into the Pythagorean Theorem:

In order to find the value of the hypotenuse , we need to plug the values of the legs and into the Pythagorean Theorem:

In order to find the value of the hypotenuse given area and leg length , we first need to calculate the length of the other leg length . Given the area equation :

Plugging in and :

Now we need to plug the values of the legs and into the Pythagorean Theorem: