SOLUTION: The base of triangle is 7cm more than its height. If the area is 294 square centimeters, Find the base and the height of the triangle.

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Question 797185: The base of triangle is 7cm more than its height. If the area is 294 square centimeters, Find the base and the height of the triangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let b = base
Let h = height
Given: b=h%2B7

Formula for Area of Triangle: A=%281%2F2%29bh

%281%2F2%29%28h%2B7%29%2Ah=294, directly from formula.
h%5E2%2B7h=2%2A294
h%5E2%2B7h-588=0

Is 588 useful to factor? 4*147=4*3*49=3*4*7*7
Maybe we can use 21 and 28?

The left hand side is factorable:
highlight%28%28h-21%29%28h%2B28%29=0%29
Choose the positive value for h, highlight%28h=21%29
b=21%2B7=highlight%2828%29