Question

A right triangle has a hypotenuse of 50 feet and a leg of 14 feet. Which is the length of the other leg? 24 feet 30 feet 42 feet 48 feet

Answer 1

a^2 + b^2 = c^2....a and b are the legs and c is the hypotenuse
14^2 + b^2 = 50^2
b^2 = 50^2 - 14^2
b^2 = 2500 - 196
b^2 = 2304.....take sqrt of both sides, eliminating the ^2
b = sqrt 2304
b = 48 ft <=== the other leg

Answer 2

The length of the other leg is 48 feet

Explanation:

To find the length of the other leg, we will simply follow the steps below;

We will use the Pythagoras theorem formula to solve;

Write down the Pythagoras theorem formula

opposite² + adjacent² = hypotenuse²

Let the value of the other leg be x

From the question given;

hypotenuse = 50, a leg, say the opposite = 14

Lets substitute into our formula;

opposite² + adjacent² = hypotenuse²

14² + x² = 50²

196 + x² = 2500

subtract 196 from both-side of the equation

196 - 196 + x² = 2500 - 196

x² = 2304

Take the square root of both-side of the equation

√x² = √2304

x = 48 feet

The length of the other leg is 48 feet