SOLUTION: The diagonal of a rectangle is 73cm long. Determine the dimensions of the rec angle if the width is 7cm longer than the length. solve as a graph thanks in advance!!!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The diagonal of a rectangle is 73cm long. Determine the dimensions of the rec angle if the width is 7cm longer than the length. solve as a graph thanks in advance!!!      Log On


   

Question 1160194: The diagonal of a rectangle is 73cm long. Determine the dimensions of the rec angle if the width is 7cm longer than the length. solve as a graph
thanks in advance!!!
Answer by ikleyn(52901) About Me  (Show Source):
You can put this solution on YOUR website!
.

The equation is


    x^2 + (x+7)^2 = 73^2.


Instead of formal solving, I look into the table of the Pythagorean triples


https://en.wikipedia.org/wiki/Pythagorean_triple


and I quickly find there the triple  (48,55,73)  with the diagonal of 73, which satisfies all conditions.     ANSWER

Solved.