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Max
07-27-2013, 12:27 PM
SAT math geometry

I need help with the following SAT math geometry question:

Two sides of a triangle measure 6 and 14. Which one of the following could equal the length
of the third side?

(A) 7
(B) 11
(C) 19
(D) 21

Thanks!!

07-27-2013, 12:38 PM
SAT math geometry

I need help with the following SAT math geometry question:

Two sides of a triangle measure 6 and 14. Which one of the following could equal the length
of the third side?

(A) 7
(B) 6
(C) 19
(D) 21

Thanks!!

The triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side and the reverse triangle inequality states that for any triangle, any side of a triangle is greater than the difference between the other two sides.

So, the third side of the given triangle has length (l) between 14-6<l<14+6\Rightarrow 8<l<20
and the correct answer is (C)=19

Hope these help!!!;);)

Max
07-27-2013, 12:39 PM