SOLUTION: Please help me solve this. I do not even know where to start!! :( The area of a triangle is 96 sq. inches. Its altitude is 2 inches greater than five times its base. Find the al

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Please help me solve this. I do not even know where to start!! :( The area of a triangle is 96 sq. inches. Its altitude is 2 inches greater than five times its base. Find the al      Log On

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Question 215639: Please help me solve this. I do not even know where to start!! :(
The area of a triangle is 96 sq. inches. Its altitude is 2 inches greater than five times its base. Find the altitude.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: The altitude is another way of saying height.

Let

A = area
b = base
h = height


Since "The area of a triangle is 96 sq. inches", this means A=96


Also, because "Its altitude is 2 inches greater than five times its base" we know that h=5b%2B2


Finally, recall that the area of a triangle is A=%28bh%29%2F2


So use these three equations to find the base 'b' and the height/altitude 'h'. Let me know if this helps.