SOLUTION: # 78 area of a triangle the base of the triangle is 4 inches longer than the height . If its area is 70 square inches , what are the base and the height So far I can say base

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Question 151692: # 78 area of a triangle the base of the triangle is 4 inches longer than the height . If its area is 70 square inches , what are the base and the height
So far I can say base = height + 4 area = 70 the formula for area of a triangle is A = 1/2 bh
70 = [(h+4)(h)/2]
140=h^2+4h
140= (h+4)(h-0) or should I do h^2 + 4h -140 = 0...(h+14)(h-10)=0
then h=-14 or h=10?
Answer by jim_thompson5910(28705) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct. Remember, a negative height does not make sense. So the only answer is h=10

So this would make the base b=10%2B4=14


Check:


A=%281%2F2%29b%2Ah Start with the given equation.


A=%281%2F2%29%2814%29%2810%29 Plug in h=10 and b=14.


A=%28140%2F2%29 Multiply


A=70 Reduce


Since the area is 70 square units, this verifies the answer.