SOLUTION: The base of the triangle is 3 cm less than twice the length of the height. Find the minimum area of the triangle?

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Question 1058791: The base of the triangle is 3 cm less than twice the length of the height. Find the minimum area of the triangle?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The base of the triangle is 3 cm less than twice the length of the height.
Find the minimum area of the triangle?
:
A = 1%2F2*height*base
A = 1%2F2*h(2h-3)
A = %28%282h%5E2-3h%29%29%2F2
You can see minimum Area occurs when h=2 (assuming we are dealing with integers here)
A = %28%282%2A2%5E2-3%2A2%29%29%2F2
A = %28%288-6%29%29%2F2
A = 1 sq/cm
:
Note that h values less that 2 would give an area of 0 or less