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