Question 338929: The base of a triangle is 4 in. less than twice the height. The area is of the traingle is 35 inches squared . Find the height of the base.
-I am aware of the formula, but I am really having a difficult time writing out the problem in the form so I can understand it. So far, this is what I have:
(1/2) x (2h-4) x h = 35
I know that I need to factor, but I cannot seem to factor based on the how I developed the problem. Can you please provide some step-by-step basis so I have a good understanding of what I should be doing. I would appreciate any help!
Thanks! Melissa
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The base of a triangle is 4 in. less than twice the height. The area of the traingle is 35 inches squared . Find the height and the base.
-I am aware of the formula, but I am really having a difficult time writing out the problem in the form so I can understand it. So far, this is what I have:
(1/2) x (2h-4) x h = 35
(h-2)h = 35
h^2-2h-35 = 0
(h-7)(h+5) = 0
Positive solution:
height = 7 inches
base = 2h-4 = 2*7-4 = 10 inches
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Cheers,
Stan H.
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