SOLUTION: The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2. Find the height of the triangle.
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Question 1179836: The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2. Find the height of the triangle. Answer by mananth(16946) (Show Source):
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The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2. Find the height of the triangle.
Let length of the base = x m
Height = 2x+4 m
area =35
Area of triangle = 1/2 * x * (2x+4)
35= 1/2 * x * (2x+4)
70 = 2x^2 +4x
2x^2+4x-70 =0
/2
x^2+2x-35=0
(x+7)(x-5)=0
x=-7, or x=5
omit negative
base = 5m
height ===>2x+4 ===>14 m
