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.

48 inches
60 inches
70 inches
75 inches

Answer 1

60 inches

Explanation:

Answer 2

Answer: second option

Explanation:

You know that it is a right triangular window frame.

Then, you can use the Pythagoren Theorem to find the lenght of the third side:

`a^2=b^2+c^2`

Where "a" is the hypotenuse (or the longest side), and "b" and "c" are the legs .

Then, you can solve for one of the legs:

`b^2=a^2-c^2\\b=√(a^2-c^2)`

Since you know the lenght of the hypotenuse and the lenght of one leg, you can substitute values.

Therefore, you get:

`b=√((87in)2^-(63in)^2)\\b= 60in`