SOLUTION: if i have a triangle with an area of 27 SQUARE CENTIMETERS and the base is the height plus 3 cm. WHAT is the base and height ?

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Question 935683: if i have a triangle with an area of 27 SQUARE CENTIMETERS and the base is the height plus 3 cm. WHAT is the base and height ?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A, triangle area, 27 cm*cm
h, height
b, base
b=h+3


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

%281%2F2%29%28h%2B3%29%2Ah=A

h%28h%2B3%29=2A

h%5E2%2B3h-2A=0

You can substitute for A any time you want. Maybe the quadratic is factorable. You can find out.
Either way, you solve for h first, and use this to evaluate b. In case the quadratic is not factorable,
use the formula for general solution of a quadratic equation, which will be using the variables and
numbers here,

highlight%28h=%28-3%2Bsqrt%283%5E2%2B4%2A2A%29%29%2F2%29