SOLUTION: Could someone show me how to solve this word problem for triangles? The base of the triangle is {{{7cm}}} greater then the height. The area is {{{39cm^2}}}. Find the height and th

Algebra ->  Triangles -> SOLUTION: Could someone show me how to solve this word problem for triangles? The base of the triangle is {{{7cm}}} greater then the height. The area is {{{39cm^2}}}. Find the height and th      Log On


   

Question 152238: Could someone show me how to solve this word problem for triangles?
The base of the triangle is 7cm greater then the height. The area is 39cm%5E2. Find the height and the length of the base.
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
b=h+7
bh/2=39 yhen bh=78
then
(h+7)h=78
h^2+7h-78=0


h+=+%28-7+%2B-+sqrt%28+7%5E2-4%2A1%2A78+%29%29%2F2+ =
%28-7+%2B-+sqrt%28361%29%29%2F2+=%28-7+%2B-+19%29%2F2+
then h=(-7+19)/2=6
Answer:
h=6 and b=13