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 87 inches. The height of the frame is labeled as 63 inches.

Answer 1

By the Pythagorean Theorem,  the longest side of a right triangle squared is equal to the sum of the squared sides...

h^2=x^2+y^2, where h=hypontenuse, and x and y are the side lengths...

87^2=w^2+63^2

w^2=87^2-63^2

w^2=3600

w=√3600

w=60 in

So the base of the frame is 60 inches wide.

Answer 2

Answer: 60 inches

Step-by-step explanation:

Given: A frame in the shape of right triangle with the longest side = 87 inches

The height of the frame is labeled as 63 inches.

Let 'x' be the third side of the frame then by Pythagoras theorem of right triangle , we have

$87^2=x^2+63^2\\\\\Righatrrow\ x^2=87^2-63^2\\\\\Rightarrow\ x^2=3600\\\\\Rightarrow\ x=\sqrt{3600}=60$

Hence, the length of the third side of the window frame = 60 inches.