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17 August, 19:50

Two sides of a triangle measure 8 cm and 12 cm. Which of the following cannot be the measure of the third side? 4,12,8 or 16

Why?

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  1. 17 August, 19:59
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    4 cannot be the measure of the third side. This is because of the Triangle Inequality Theorem, which states that the sum of two sides of a triangle must be greater than the third side (A+B>C, A+C>B, B+C>A) In this example, if side C were 4, side C (4) plus side A (8) would be 12. Since side B is 12, and 12 cannot be greater than 12, 4 would not work.
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