SOLUTION: Have a right triangle with base h+7 and height of h. The area equals 60. What is the height?
Algebra.Com
Question 161669: Have a right triangle with base h+7 and height of h. The area equals 60. What is the height?
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
height = h
base = h+7
area = 60
-----
formula for area = 1/2 base * height
base = h+7
height = h
area = 60
-----
formula becomes
(1/2)*h*(h+7) = 60
multiply both sides by 2 to remove the denominator.
h*(h+7) = 120
multiply out to remove parentheses
h^2 + 7*h = 120
subtract 120 from both sides of equation
h^2 + 7*h - 120 = 0
this is a quadratic equation with factors equal to
(h+15) * (h-8) = 0
-----
h = -15 no good because can't be negative.
answer is
h = 8
h+7 = 15
-----
1/2 base * height should = 60.
1/2 * (15) * (8) = 4 * 15 = 60.
answer is good.
h = 8.
RELATED QUESTIONS
Suppose you have an equilateral triangle with a height of h feet. Then its area is
A= (answered by Boreal,addingup)
What is the length of the base (b) of any triangle with area A and height h... (answered by Alan3354)
the area a of a triangle with base b and height h is given by A=1/2bh Find the area with... (answered by richwmiller)
The area of a triangle with a base that is 16 inches and a height that is h... (answered by ikleyn)
what is the perimeter of a right-angled triangle of base b, hypotenuse l and height h (answered by richard1234)
The area A of a triangle with base b and height h is given by A=1/2bh. Find the area when (answered by checkley75)
the area A of a triangle with base b and height h is given by A = 1/2bh. Find the area... (answered by solver91311)
the area A of a triangle with base b and height h is given by A=1/2bh. Find the area when (answered by checkley77)
The area A of a triangle with base b and height h is given by A= 1/2bh. Find the area... (answered by richard1234)