SOLUTION: The area of a right triangle is 120 sq. in. The longer leg is 4 more than twice the shorter leg. Find the length of each leg. Show all work to receive credit.
Algebra.Com
Question 277769: The area of a right triangle is 120 sq. in. The longer leg is 4 more than twice the shorter leg. Find the length of each leg. Show all work to receive credit.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Area=bh/2
b=2h+4
120=(2h+4)h/2
120=h^2+2h/2
120=h^2+2h
h^2+2h-120=0
(h-10)(h+12)
h-10=0
h=10 ans.
b=2*10+4
h=20+4
h=24 ans.
Proof:
120=10*24/2
120=240/2
120=120
RELATED QUESTIONS
The area of a right triangle is 120 sq. in. The longer leg is 4 more than twice the... (answered by bucky)
The area of a right triangle is 120 sq. in. The longer leg is 4 more than twice the... (answered by Marth)
The area of a right triangle is 60 sq. in. The longer leg is 1 less than twice the... (answered by jim_thompson5910)
The hypontenuse of a right triangle is 13ft. The longer leg is two more than twice the... (answered by Mathtut)
The length of the longer leg of a right triangle is 4 ft more than twice the length of... (answered by math_tutor2020)
The length of the longer leg of a right triangle is 4 ft more than twice the
length of... (answered by greenestamps,josgarithmetic)
In a right triangle, the longer leg is 7 inches more than the shorter leg, and the... (answered by josgarithmetic)
Find the length of the shorter leg of a right triangle if the longer leg is 6 feet more... (answered by edjones)
find the length of the shorter leg of a right triangle if the longer leg is 10 miles more (answered by richwmiller)