A rectangle is drawn so the width is 5 inches longer than the height. If the rectangle's diagonal measurement is 32 inches, find the height.

Question

 Cannot figure out how to solve

Answer 1

height= w

width = w+5

diagonal = 32

 

we can use theorem of Pythagoras

 

32 ²  = w²  + (w+5)²

 

1024 = w² + w² +10w +25

1024 = 2w²+10w+25

999 = 2w²+10w

2w²+10w-999=0

 

solve to get height