Allen is given three lengths of rope: 4 feet, 8 feet, and 15 feet. Can Allen form a triangle with side lengths of 4 feet, 8 feet, and 15 feet using these three pieces of rope, why or why not? A) Cannot be determined because there is not enough information. B) No, set of side lengths does not satisfy Triangle Inequality Theorem. C) Yes, set of side lengths satisfy the Triangle Inequality Theorem. D) Yes, set of side lengths satisfy the Pythagorean Theorem.

Question

Ryder Newton

Mathematics

27 September, 16:31

Allen is given three lengths of rope: 4 feet, 8 feet, and 15 feet. Can Allen form a triangle with side lengths of 4 feet, 8 feet, and 15 feet using these three pieces of rope, why or why not? A) Cannot be determined because there is not enough information. B) No, set of side lengths does not satisfy Triangle Inequality Theorem. C) Yes, set of side lengths satisfy the Triangle Inequality Theorem. D) Yes, set of side lengths satisfy the Pythagorean Theorem.

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Answers (2)

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Jerimiah Foley · Answer 1

B) No, set of side lengths does not satisfy Triangle Inequality Theorem.

Step-by-step explanation:

The Triangle Inequality Theorem states that any two sides of a triangle must sum to an amount greater than the third side. Our sides are 4, 8 and 15.

4+8 < 15; this does not work.

Xander Morrison · Answer 2

B) No, set of side lengths does not satisfy Triangle Inequality Theorem