Question 519598: The base of a triangle is 3 cm greater than the height. The area is 2 cm^2. Find the height and the length of the base. Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! Area = 1/2(b*h) = 2 cm^2
b = h+3 cm^2
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1/2(h+3)*h = 2
(h+3)*h = 4
h^2 + 3h = 4
h^2 + 3h -4 = 0
factor
(h-1)(h+4) = 0
so
h=1 or h=-4
but a negative height is nonsense
so
h = 1
which means
b = 1+3 = 4
.
check area
1/2(1*4) = 1/2*4 = 2
correct
.
Answer: Height = 1 cm, Base = 4 cm.
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Done.
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