SOLUTION: The area of a triangle is 48cm. If the base of this triangle is 12cm, what is the length of altitude to this base?

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Question 1138608: The area of a triangle is 48cm. If the base of this triangle is 12cm, what is the length of altitude to this base?
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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The area of a triangle is 48 highlight%28cross%28cm%29%29 cm^2. If the base of this triangle is 12cm, what is the length of altitude to this base?
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For any triangle, its area is half the product of the length of any side (b, the base) and the height (h) of the triangle drawn to this side


    S = %281%2F2%29%2Ab%2Ah.


In your case


    48 = %281%2F2%29%2A12%2Ah,    or


    48 = 6h,


which gives you


     h = 48/6 = 8 centimeters.    ANSWER

Solved.


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The area of a triangle is A=%281%2F2%29b%2Ah where b is base and h altitude to the base
if the area of a triangle is 48cm%5E2, we have
%281%2F2%29b%2Ah=48cm%5E2
if the base of this triangle is 12cm, we have
%281%2F2%2912cm%2Ah=48cm%5E2.....solve for h
6cm%2Ah=48cm%5E2
h=48cm%5E2%2F6cm
h=8cm
answer: the length of altitude to this base is 8cm