SOLUTION: the altitude of a triangle is 6 cm greater than its base. If its area is 108 cm^ find base

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: the altitude of a triangle is 6 cm greater than its base. If its area is 108 cm^ find base      Log On


   

Question 908604: the altitude of a triangle is 6 cm greater than its base. If its area is 108 cm^ find base
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
b for base, h for altitude; which means, LET b = THE BASE and LET h = THE ALTITUDE.
According to those assigned variables and the problem description, h=6%2Bb.

%281%2F2%29bh=108, according to the formula for area of a triangle;
;
Simply substitute for h and first find b.
(YOU CAN EVALUATE THE BASE AFTER YOU SOLVED THE VALUE FOR h.)