SOLUTION: the height of a triangle mesure 3cm less than four times the base of the triangle. Its area is 42.5 cm^2. Find the leghts of height and base.

Algebra ->  Rectangles -> SOLUTION: the height of a triangle mesure 3cm less than four times the base of the triangle. Its area is 42.5 cm^2. Find the leghts of height and base.      Log On


   

Question 366951: the height of a triangle mesure 3cm less than four times the base of the triangle. Its area is 42.5 cm^2. Find the leghts of height and base.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=%281%2F2%29bh=42.5
%281%2F2%29b%284b-3%29=42.5
4b%5E2-3b=85
4b%5E2-3b-85=0
4b%2B17%29%28b-5%29=0
Two solutions but only one is positive.
b-5=0
highlight%28b=5%29cm
.
.
h=4%285%29-3
highlight%28h=17%29cm