Question

The sum of the lengths of any two sides of a triangle is ________than the third side​

Answer 1

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Answer 2

The sum of the lengths of any two sides of a triangle is greater than the third side​.

• In any triangle, the sum of the lengths of two sides is always greater than the third side of the triangle, according to the triangle inequality theorem.
• Consider a ΔPQR, which is having lengths as, PQ = r, QR = p, and PR = q. Now, a triangle can be formed if and only if p + q > r, p + r > q, or q + r > p.
• It can be seen that, for example, say r + q is equal to p, then the points P, Q, and R will not form a triangle, but will lie on the same straight line.