SOLUTION: solve: the length of the hypotenuse of a right triangle is 3m more than twice the length of the shorter leg. the longer leg is 7m longer than the shorter leg. find the lengths of t

Algebra ->  Pythagorean-theorem -> SOLUTION: solve: the length of the hypotenuse of a right triangle is 3m more than twice the length of the shorter leg. the longer leg is 7m longer than the shorter leg. find the lengths of t      Log On


   

Question 950705: solve: the length of the hypotenuse of a right triangle is 3m more than twice the length of the shorter leg. the longer leg is 7m longer than the shorter leg. find the lengths of the sides.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2B2S%29%5E2=%287%2BS%29%5E2%2BS%5E2
4S%5E2%2B12S%2B9=S%5E2%2B14S%2B49%2BS%5E2
4S%5E2%2B12S%2B9=2S%5E2%2B14S%2B49
2S%5E2-2S-40=0
S%5E2-S-20=0
%28S-5%29%28S%2B4%29=0
Only the positive solution makes sense here.
S-5=0
S=5
So then,
3%2B2S=3%2B2%285%29=3%2B10=13
7%2BS=7%2B5=12
7-12-13 triangle