SOLUTION: The height of a triangle is 4 meters longer than twice its base. Find the height if the area of the triangle is 15 square meters
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Question 887755: The height of a triangle is 4 meters longer than twice its base. Find the height if the area of the triangle is 15 square meters
Answer by skartikey(21) (Show Source): You can put this solution on YOUR website!
let base is b and height is h
we are given h=2b+4
and area = 15 = (1/2)(b*h)
15=(1/2)(b*(2b+4))
15=b(b+2)
b^2+2b-15=0
b^2+(5-3)b-15=0
b^2+5b-3b-15=0
b^2+5-3(b+5)=0
(b+5)(b-3)=0
b cannot be -5
therefore, b=3 then h=2*3+4=10
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