SOLUTION: The base of a triangle is 6m greater than twice the height. The area is 28m. Find the height.
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Question 201108: The base of a triangle is 6m greater than twice the height. The area is 28m. Find the height.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the formula for tha area of a triangle:
Substitute: A = 28, b = 2h+6.
Simplify.
Perfom the indicated multiplication on the right side.
Subtract 28 from both sides.
Solve by factoring.
so...
or then...
or Discard the negative solution as the height, h, can only be positive.
The height is 4 meters.
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