SOLUTION: a garden has the shape of a right triangle with one leg 5 meters longer than the other. the hypotenuse is 5 meters less than twice the length of the shorter leg
what is the length
Algebra.Com
Question 445399: a garden has the shape of a right triangle with one leg 5 meters longer than the other. the hypotenuse is 5 meters less than twice the length of the shorter leg
what is the length of the shorter leg?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
shorter leg =x
longer leg = x+5
hyp=2x-5
...
Apply Pythagoras theorem
x^2+(x+5)^2=(2x-5)^2
x^2+x^2+10x+25=4x^2-20x+25
group the terms
2x^2-30x=0
2x(x-15)=0
so x= 15
..
15^2+20 ^2= 625
(2x-5)^2= 625
RELATED QUESTIONS
a garden has the shape of a right triangle with one leg 8 meters longer than the other.... (answered by mananth)
a garden has the shape of a right triangle with one leg 2 meters longer than the other.... (answered by destro)
A garden has the shape of a right triangle with one leg 7 meters longer than the other.... (answered by lwsshak3)
A garden has the shape of a right triangle with one leg 4 meters longer than the other.... (answered by Boreal)
a garden has the shape of a right triangle with one leg 8 meters longer than the other.... (answered by stanbon)
A garden has the shape of a right triangle with one leg
5
meters longer than the other. (answered by ikleyn)
A garden has the shape of a right triangle with one leg 9 meters longer than the other.... (answered by algebrahouse.com)
A garden has the shape of a right triangle with one leg 7 meters longer than the other.... (answered by ikleyn)
A garden has the shape of a right triangle with one leg 88 meters longer than the other.... (answered by josgarithmetic)