Question

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 9 feet and the sides have a length of 12 feet. He also measured on diagonal to be 15 feet. What is the length of the other diagonal? A.21 feet B.12 feet C.15 feet D.9 feet

Answer 1

The length of the other diagonal is: C. 15 feet.

Length of other diagonal

Given:

Top and bottom of window width=9ft

Side length=12ft

Diagonal=15ft

Using Pythagoreans theorem

ΔABC is triangle same as ΔABD

Hence:

15²=12²+9²

BD=√9²+12²

BD=√81+144

BD=√225

BD=15 feet

Therefore the correct option is C.

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