SOLUTION: The height of a triangle is 6 m more than twice the length of the base. The area of the triangle is 28 m2. Find the height of the triangle.

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Question 619188: The height of a triangle is 6 m more than twice the length of the base. The area of the triangle is 28 m2. Find the height of the triangle.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
The height of a triangle is 6 m more than twice the length of the base.
The area of the triangle is 28 m^2 = L*H
x(2x+6) =28
2x^2 + 6x -28 = 0
x^2 + 3x -14 = 0

= (-3 +8.06)/2 = 2.5 rounded to 1 decimal point (throwing out neg solution for unit measure
length = 2.5m, height is 11m
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