SOLUTION: Suppose the base and height of a triangle sum to 15, and the area of the triangle is 20 square cm. What are the dimensions of the triangle?
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Question 782649: Suppose the base and height of a triangle sum to 15, and the area of the triangle is 20 square cm. What are the dimensions of the triangle? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Suppose the base and height of a triangle sum to 15, and the area of the triangle is 20 square cm. What are the dimensions of the triangle?
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let b=base
let h=height
b+h=15
b=15-h
..
Area=(1/2)b*h=20
b*h=40
(15-h)*h=40
15h-h^2=40
h^2-15h+40=0
solve for h by quadratic formula:
a=1, b=-15, c=20
ans:
h=3.47 or 11.53 cm (height)
b=15-h=11.53 or 3.47 cm (base)
note: base and height can be interchanged to give the same area
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