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) About Me  (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 basehighlight%28x%29.

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

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ 

 x+=+%28-3+%2B-+sqrt%28+65%29%29%2F%282%29+  = (-3 +8.06)/2 = 2.5 rounded to 1 decimal point (throwing out neg solution for unit measure

length = 2.5m, height is 11m