SOLUTION: A rectangle is drawn so the width is 16 inches longer than the height. If the rectangles diagonal measurement is 80 inches, find the height. Please give simple step by step answer

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A rectangle is drawn so the width is 16 inches longer than the height. If the rectangles diagonal measurement is 80 inches, find the height. Please give simple step by step answer      Log On


   

Question 954665: A rectangle is drawn so the width is 16 inches longer than the height. If the rectangles diagonal measurement is 80 inches, find the height.
Please give simple step by step answer.The more steps shown the better.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the width
y, the height
x=16+y, the width description transcribed

The diagonal of 80 inches cuts the rectangle into two congruent right triangles which have side lengths following the Pythagorean Theorem Formula.

x%5E2%2By%5E2=d%5E2, d for the diagonal.
%2816%2By%29%5E2%2By%5E2=80%5E2

Should be no trouble from there.