SOLUTION: the width of a rectangle is 7 inches and its diagonal is 12 inches,find the length of the rectangle. round to the nearest tenth of an inch. please show work Thank you very much

Algebra ->  Rectangles -> SOLUTION: the width of a rectangle is 7 inches and its diagonal is 12 inches,find the length of the rectangle. round to the nearest tenth of an inch. please show work Thank you very much      Log On


   

Question 804077: the width of a rectangle is 7 inches and its diagonal is 12 inches,find the length of the rectangle. round to the nearest tenth of an inch. please show work
Thank you very much
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal is the hypotenuse of a right triangle and the rectangle's "length" is the other leg of the right triangle.

Pythagorean Theorem: 7%5E2%2Bu%5E2=12%5E2 using u as the unknown leg length.
u%5E2=144-49
u%5E2=91
highlight%28u=sqrt%2891%29%29