SOLUTION: The base of a triangle is 2 inches more than 3 times the height. If the area is 8 square inches, find the base and the height
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Question 799390: The base of a triangle is 2 inches more than 3 times the height. If the area is 8 square inches, find the base and the height Answer by waynest(281) (Show Source):
You can put this solution on YOUR website! base = 3h + 2
height = h
Area = 8
h(3h + 2) = 8
3h^2 + 2h = 8
3h^2 + 2h - 8 = 8 - 8
3h^2 + 2h - 8 = 0
(3h - 4)(h + 2) = 0
3h - 4 = 0
3h - 4 + 4 = 4
3h = 4
3h/3 = 4/3
h = 4/3
h + 2 = 0
h + 2 - 2 = -2
h = -2
you can not have a negative value so h = 4/3 is the right one
check:
3(4/3)^2 + 2(4/3) = 8
3(16/9) + 8/3 = 8
16/3 = 8/3 = 8
24/3 = 8
8 = 8
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