SOLUTION: The hypotenuse of a triangle is eight feet longer than the shorter leg. The length of the longer leg is seven feet more than the length of the shorter leg. Find the three sides of

Question 247102: The hypotenuse of a triangle is eight feet longer than the shorter leg. The length of the longer leg is seven feet more than the length of the shorter leg. Find the three sides of the triangle.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
c=a+8
b=a+7
a^2+b^2=c^2
a^2+(a+7)^2=(a+8)^2
a^2+a^2+14a+49=a^2+16a+64
2a^2-a^2+14a-16a+49-64=0
a^2-2a-15=0
(a-5)(a+3)=0
a-5=0
a=5 ans.
b=5+7=12 ans.
c=5+8=13 ans.
Proof:
5^2+12^2=13^2
25+144=169
169=169
RELATED QUESTIONS
Find the length of the shorter leg of a right triangle if the longer leg is 12 feet more... (answered by solver91311,stanbon)

Find the length of the shorter leg of a right triangle if the longer leg is 14 feet more... (answered by josgarithmetic)

Find the length of the shorter leg of a right triangle if the longer leg is 14 feet more... (answered by jorel1380)

find the length of the short leg of a right triangle if the longer leg is 11 feet more... (answered by nerdybill)

Find the length of the shorter leg of a right triangle if the longer leg is 8 feet more... (answered by ikleyn)

The hypotenuse of a right triangle is 9 feet more than the shorter leg and the longer leg (answered by JBarnum)

hypotenuse of a right triangle is 8 ft less than three times the shorter leg, longer leg... (answered by mananth)

In a right triangle, one leg is 7 feet shorter than the other leg. The hypotenuse is 2... (answered by addingup,ikleyn,MathTherapy)

Find the length of the shorter leg of a right triangle if the longer leg is 6 feet more... (answered by edjones)