SOLUTION: a right triangle has a base that is 2 more than twice the height. find the length of the base for the triangle if the area is 30 square units.

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Question 467113: a right triangle has a base that is 2 more than twice the height. find the length of the base for the triangle if the area is 30 square units.
Answer by poliphob3.14(115) About Me  (Show Source):
You can put this solution on YOUR website!
Let the height of triangle be x units, then its base will be 2x+2 units, and the
area is 30=%281%2F2%29%282x%2B2%29x=%281%2F2%292%28x%2B1%29x=x%5E2%2Bx<=>x%5E2%2Bx-30=0, solving the
final equation we get x=5. To find the length of the base substitute x=5 at 2x+2,
and get base 2*5+2=12 units.