SOLUTION: The height of a triangle is 6 meters longer than twice its base. Find the base and height if the area of the triangle is 8 square meters. Round to the nearest hundredth of a meter.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The height of a triangle is 6 meters longer than twice its base. Find the base and height if the area of the triangle is 8 square meters. Round to the nearest hundredth of a meter.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 925565: The height of a triangle is 6 meters longer than twice its base. Find the base and height if the area of the triangle is 8 square meters. Round to the nearest hundredth of a meter.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
h=6%2B2b
.
.
.
A=%281%2F2%29bh=8
bh=16
.
.
.
Substituting,
b%286%2B2b%29=16
2b%5E2%2B6b=16
b%5E2%2B3b=8
b%5E2%2B3b%2B9%2F4=8%2B9%2F4
%28b%2B3%2F2%29%5E2=41%2F4
b%2B3%2F2=0+%2B-+sqrt%2841%29%2F2
b=-3%2F2+%2B-+sqrt%2841%29%2F2
Only the positive solution makes sense here.
b=%28sqrt%2841%29-3%29%2F2
h=6%2Bsqrt%2841%29-3
h=3%2Bsqrt%2841%29