SOLUTION: The base of a triangle is 4 more than twice its height. If the area of the triangle is 78 square centimeters, find its base and height.

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Question 1006768: The base of a triangle is 4 more than twice its height. If the area of the triangle is 78 square centimeters, find its base and height.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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The base of a triangle is 4 more than twice its height. If the area of the triangle is 78 square centimeters, find its base and height.
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Let b be the size of the base and h is the size of the height.

Then 

b = 2h + 4,      (1)

 = 78.   (2)

To solve it, substitute (1) into (2). You will get

(h+2)*h = 78,

 = .

Apply the quadratic formula to find h.


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