Re: SAT question


jennifer wrote:
If a triangle has sides ABC which one of the folowing is true.

A.) C= A+B
B.) C= A-B
C.) C+2 = A+B+3
D.) C+3 = A+B+2
E.) C= 2A+B


I tried using heros formula and exhausted all my avenues can someone
help me please?

Hero's formula should work, but it's probably more than you need...

In any triangle, the longest side has to be SHORTER than the other two
sides put together. You've got to be able to get back from the ends of
the longest side, using the other two sides, with some slack left
over,,,

So, fore example, if E were true, you'd be at the ends of C, 2A+B
apart, with only A and B to get you back. The triangle won't close.

The same logic can be applied to the other options...

If you use Hero's formula on an impossible triangle, you get a zero or
imaginary area if the sides fail the test above...

.

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