Is it possible for a triangle to have sides with the given lengths: 20 m, 22 m, and 24 m? A. Yes; the sum of each pair is greater than the third. B. No; 202 + 222 > 242. C. No; 22 + 24 > 20. D. Yes; the sum of each pair is less than the third.

Question

Regan Poole

Mathematics

31 August, 18:42

Is it possible for a triangle to have sides with the given lengths: 20 m, 22 m, and 24 m? A. Yes; the sum of each pair is greater than the third. B. No; 202 + 222 > 242. C. No; 22 + 24 > 20. D. Yes; the sum of each pair is less than the third.

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Sasha Huynh · Answer 1

The correct answer is A) yes, the sum of each pair is greater than the third.

The triangle inequality theorem states that the sum of any two sides of a triangle is longer than the third side. This is true for these numbers, so this does form a triangle.