Question

The legs on a right triangle are 15.25 inches and 14.1 inches.

Answer 1

We have been given that the legs on a right triangle are 15.25 inches and 14.1 inches. We are asked to find the hypotenuse of the right triangle.

We will use Pythagoras theorem to solve our given problem.

$\text{Hypotenuse}^2=\text{Leg}^2+\text{Leg}^2$

$\text{Hypotenuse}^2=15.25^2+14.1^2$

$\text{Hypotenuse}^2=232.5625+198.81$

$\text{Hypotenuse}^2=431.3725$

Now we will take positive square root on both sides.

$\sqrt{\text{Hypotenuse}^2}=\sqrt{431.3725}$

$\text{Hypotenuse}=20.7695089012715946$

Upon rounding to nearest hundredth, we will get:

$\text{Hypotenuse}\approx 20.77$

Therefore, the length of the hypotenuse is approximately 20.77 inches.