SOLUTION: Could some one please help I do not remember how to solve this kind of problem. The base of a triangle is 4cm greater then the height. the area is {{{48cm^2}}}Find the height and

Question 135418: Could some one please help I do not remember how to solve this kind of problem.
The base of a triangle is 4cm greater then the height. the area is Find the height and length of the base.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the formula for the area of a triangle:
where: b is the length of the base and h is the length of the height.
In your problem, you have b = h+4 (The base (b) is 4 cm greater than the height (h)) and:
(The area is 48 sq.cm.), so...
Substitute A = 48, and b = h+4.
Simplify and solve for h.
Multiply both sides by 2.
Subtract 96 from both sdes.
Solve by factoring.
Apply the zero products rule.
or , so...
or Discard the negative solution as lengths are positive quantities.
The height is 8cm.
The base is:

The base is 12cm.

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