SOLUTION: The length of one leg of a right triangle is 7 meters less than the length of the other leg. the length of the hypotenuse is 13 meters. find the lengths of the legs.
Algebra.Com
Question 183505: The length of one leg of a right triangle is 7 meters less than the length of the other leg. the length of the hypotenuse is 13 meters. find the lengths of the legs.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x^2+(x-7)^2=13^2
x^2+x^2-14x+49=169
2x^2-14x+49-169=0
2x^2-14x-120=0
2(x^2-7x-60)=0
2(x-12)(x+5)=0
x-12=0
x=12 ans.
12-7=5 ans.
Proof:
12^2=5^2=13^2
144+25=169
169=169
RELATED QUESTIONS
The length of one leg of a right triangle is 7 meters less than the length of the other... (answered by Fombitz)
A garden has the shape of a right triangle with one leg 7 meters longer than the other.... (answered by lwsshak3)
one leg of of a right triangle is 2 meters longer than the other leg. The hypotenuse is 2 (answered by dkppathak)
the length of one leg of a right triangle is 7 meters less than the length of the other... (answered by jim_thompson5910)
The length of one leg of a right triangle is 7 meters less than the length of the other... (answered by checkley77)
One leg of a right triangle is 14 meters longers than the other leg. The hypotenuse is 26 (answered by checkley77)
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 5 meters longer than the other.... (answered by mananth)
a garden has the shape of a right triangle with one leg 8 meters longer than the other.... (answered by mananth)