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So I understand why the formula for the area of a triangle is 1/2(bh), which is technically (bh)/2, but why can the formula not be split into b/2 X h/2? If you do this you don't get the same answer.

That is because b/2 x h/2 = bh/4 since when multiplying fractions,

both the numerator and denominator are multiplied. It is only addition

where the same denominator is kept.

Think about it 1/2 x 1/2 means half of a half, and that is 1/4.

How about 1/3 x 1/2, which is one third of one half, which is 1/6.

That make sense?

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