Question

What is the length of the third side of the window frame below? (Figure is not drawn to scale.) A picture of a right triangular window frame is shown. The longest side has length labeled as 78 inches. The height of the frame is labeled as 72 inches. a.30 inches b.36 inches c.50 inches d.75 inches

Answer 1

78^2-72^2= 900
√900= 30

a. 30in

Answer 2

Answer: 30 inches

Step-by-step explanation:

From the given figure we can see , the window frame is in the shape of right triangle.

Thus we can apply Pythagoras theorem here.

Pythagoras theorem tells that the square of the longest sides of right triangle is the sum of the square of the other two sides.

Let the third side be 'x', then

$78^2=72^2+x^2\\\Rightarrow\ x^2=78^2-72^2\\\Rightarrow\ x^2=6084-5184\\\Rightarrow\ x^2=900\\\Rightarrow\ x=30\ inches$