Question

question 10 of 10
a construction worker needs to put a rectangular window in the side of a building. he knows from measuring that the top and bottom of the window have a width of 8 feet and the sides have a length of 15 feet. he also measured one diagonal to be 17 feet. what is the length of the other diagonal?

a. 15 feet
b. 17 feet
c. 8 feet
d. 23 feet

Explanation:

Step1: Property of rectangle diagonals

In a rectangle, diagonals are equal.

Step2: Verify with Pythagorean theorem

Width=8ft, length=15ft. Diagonal: $\sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17$ft.

Answer:

B. 17 feet