Question

What is the length of the third side of the window frame below? (Figure is not drawn to scale.) 15 inches 27 inches 25 inches 32 inches

Answer 1

15

Explanation:

Answer 2

The remaining side is 15 inches.

We can find this by using the Pythagorean Theorem which is listed below, with a and b being the lengths of the legs of the triangle and c being the lengths of the hypotenuse.


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

Now we can put the known values in and solve for the remaining leg.


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


`36^(2) + b^(2) = 39^(2)`


`1296 + b^(2) = 1521`


`b^(2)` = 225

b = 15