SOLUTION: the height of a triangle is 8 yards less than the base and the area is 154 square yards can you help me set up the problem?

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Question 887485: the height of a triangle is 8 yards less than the base and the area is 154 square yards can you help me set up the problem?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
height, -8%2Bb using b for base length.
%281%2F2%29b%2A%28b-8%29=154 using formula for area of a triangle.

You can solve for the base b, in that equation; and you will also be able to compute the height.


b%5E2-8b=308
b%5E2-8b-308=0
Discriminant is 1296, 36%5E2. You can factor if you want to solve...
But...
b=%288%2B-+36%29%2F2
The one that makes any sense is highlight%28b=22%29.