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 5 feet and the sides have a length of 12 feet. he also measured one diagonal to be 13 feet. what is the length of the other diagonal?

Answer 1

Width of the rectangular window = 5 feet

Length of the rectangular window = 12 feet.

Length of one of the diagonals is = 13 feet

As it is a rectangle, both the diagonals are equal, so other one will also be 13 feet. Or we can solve it by using Pythagoras theorem.

Let the supposed diagonal be = d

$d^{2}=5^{2} +12^{2}$

$d^{2} =25+144$

$d^{2} =169$

d=13

Hence, the length of the diagonal will be 13 feet.

Answer 2

The other diagonal would be 13 feet as well because it is a rectangle.