SOLUTION: I need help with this word problem, I've tried everything, but can't get a real answer: The altitude of a triangle is 8cm longer than the base. If the area of a triangle is 24cm,

Question 120909: I need help with this word problem, I've tried everything, but can't get a real answer:
The altitude of a triangle is 8cm longer than the base. If the area of a triangle is 24cm, find the altitude.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
area=bh/2
h=b+8
area=b(b+8)/2
24=(b^2+8b)/2 now cross multiply.
b^2+8b=48
b^2+8b-48=0
(b+12)(b-4)=0
b-4=0
b=4 answer for the base.
h=4+8=12 answer for the height.
proof
24=4*12/2
24=48/2
24=24
RELATED QUESTIONS
Hi, I need help with a problem involving systems of linear equations, addition... (answered by stanbon)

I’m didn’t find an exact word for word topic so sorry if I chose the wrong one.... (answered by solver91311,josgarithmetic,ikleyn)

Please help me solve this. I need to find the altitude of a triangle. The bottom... (answered by Nate)

Hello, I need help writing the word problem into equation form. I have come up with an... (answered by josmiceli)

Please help! [(b/a)-(a/b)]/[(1/a)-(1/b)] I know the answer is a+b but i can't get... (answered by stanbon)

how do I solve this word problem "a rectangular rug has area of 96 square feet. If its... (answered by rothauserc)

Help with this one too? This linear systems by substitution, i think this is a no... (answered by scott8148)

I badly need help with this problem, can someone please have an illustration of how it... (answered by ikleyn)

Hi! I think I got the correct answer to this word problem but am having trouble setting... (answered by ankor@dixie-net.com)