SOLUTION: One Leg Of A Right Triangle Is 21 Inches Longer Than The Smaller Leg, And The Hypotenuse Is 24 Inches Longer Than The Smaller Leg. Find The Lengths Of The Sides Of The Triangle.

Algebra ->  Triangles -> SOLUTION: One Leg Of A Right Triangle Is 21 Inches Longer Than The Smaller Leg, And The Hypotenuse Is 24 Inches Longer Than The Smaller Leg. Find The Lengths Of The Sides Of The Triangle.      Log On


   

Question 377446: One Leg Of A Right Triangle Is 21 Inches Longer Than The Smaller Leg, And The Hypotenuse Is 24 Inches Longer Than The Smaller Leg. Find The Lengths Of The Sides Of The Triangle.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
One Leg Of A Right Triangle Is 21 Inches Longer Than The Smaller Leg, And The Hypotenuse Is 24 Inches Longer Than The Smaller Leg. Find The Lengths Of The Sides Of The Triangle.
...
smaller leg = x
longre leg = x+21
hypotenuse = x+24
...
Hyp^2 = leg1^2 + leg2^2
..
(x+24)^2=(x+21)^2+x^2
x^2+48x+576=x^2+42x+441+x^2
re write the equation
x^2+x^2-x^2-48x+42x-576+441=0
x^2-6x-135=0
x^2-15x+9x-135=0
x(x-15)+9(x-15)=0
(x-15)(x+9)=0
x= 15 ignore -9
...
The sides are 15, 36,39 inches
...
m.ananth@hotmail.ca