Question

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.

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.

Answer 2

Option A. Yes; the sum of each pair is greater than the third.

Explanation:

As we know triangle inequality theorem clearly states that a triangle is possible only when sum of two sides of the triangle is greater than third side of the triangle.

The given sides of the triangle are 20m, 22m and 24m.

so by theorem of inequality

22 + 20 > 24

42 > 24

Therefore, answer will be (A) sum of each pair is greater than third.