What is the length of the third side of the window frame below? (5 points)
(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.
30 inches
36 inches
50 inches
75 inches
To find the length of the third side of the window frame, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the longest side is labeled as 78 inches and the height is labeled as 72 inches. Let's label the third side as x.
Using the Pythagorean theorem:
x^2 = 78^2 - 72^2
x^2 = 6084 - 5184
x^2 = 900
Taking the square root of both sides, we find:
x = √900
x = 30 inches
Therefore, the length of the third side of the window frame is 30 inches.