SOLUTION: The height of a triangle is 4 centimeters more than three times the base. If the area is 32 square centimeters, find the base and the height.

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Question 627172: The height of a triangle is 4 centimeters more than three times the base. If the area is 32 square centimeters, find the base and the height.
Answer by asuar010(338) About Me  (Show Source):
You can put this solution on YOUR website!
A=%28b%2Ah%29%2F2 and h=4%2B3b following the instructions from the problem... then we get by substitution that 32=b%284%2B3b%29%2F2 then 64=4b%2B3b%5E2 then 0=3b%5E2%2B4b-64=0 which becomes %283b%2B16%29%28b-4%29=0 which leaves the only possible answer for b=4 and then by substitution we obtain that h=16