SOLUTION: help please and thank you the base of a triangle is 4 cm greater than the height the area is 16 cm^2 find the height and the lenght of the base.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: help please and thank you the base of a triangle is 4 cm greater than the height the area is 16 cm^2 find the height and the lenght of the base.      Log On


   



Question 384691: help please and thank you
the base of a triangle is 4 cm greater than the height the area is 16 cm^2 find the height and the lenght of the base.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
the base of a triangle is 4 cm greater than the height the area is 16 cm^2 find the height and the lenght of the base.
...
height = h
base = h+3
..
1/2 * base* height = area
1/2*h*(h+3)=16
multiply by 2
h(h+3)=32
h^2+3h=32
h^2+3h-32=0
Find roots using quadtratic formula
....
a=1,b=3,c=-32
...
b^2-4ac=137
...
x1=%28-3%2Bsqrt%28137%29%29%2F2
x1=4.35 cm
x2=%28-3-sqrt%28137%29%29%2F2
x2=-7.35 (ignore)
%28highlight%28Height+=+4.35cm%0D%0Abase+=+7.35cm%29%29