SOLUTION: how do you find the perimeter of a rectangle if the diagonal is 15cm and the length of one side is 8com?

Algebra ->  Rectangles -> SOLUTION: how do you find the perimeter of a rectangle if the diagonal is 15cm and the length of one side is 8com?      Log On


   

Question 383546: how do you find the perimeter of a rectangle if the diagonal is 15cm and the length of one side is 8com?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can find the length of the other side using the Pythagorean theorem.
L%5E2%2BW%5E2=D%5E2
8%5E2%2BW%5E2=15%5E2
64%2BW%5E2=225
W%5E2=161
W=sqrt%28161%29
The perimeter is then,
P=2%2A%28L%2BW%29
highlight%28P=2%2A%288%2Bsqrt%28161%29%29%29cm