Questions on Geometry: Triangles answered by real tutors!

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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^2. Find the height and the length of the base.: 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 the length of the base.
Answer by oscargut(667) 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 = (-7 +- sqrt( 7^2-4*1*78 ))/2 =
(-7 +- sqrt(361))/2 =(-7 +- 19)/2
then h=(-7+19)/2=6
Answer:
h=6 and b=13