PLEASE HELP!!! The lengths of two sides of a triangle are 12 inches and 4 inches. Which of the following dimensions is the third side of this triangle? 6 inches 8 inches 7 inches 9 inches

(1) Answers

There is this theorem for triangles that the sum of the lengths of any two sides must be greater than the third side. So, we apply this theorem: (let x be the third side) 12 + x > 4x > -8 12+4 > x16 > x x + 4 > 12x > 8 The first inequality is not valid since the third side must not be negative.The answer should be agree with this inequality 8< x<16. Thus, the answer is 9 inches.

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