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Select 3 side lengths that can form a right triangle. 12 centimeters 14 centimeters 16 centimeters 30 centimeters 32 centimeters 34 centimeters Submit

Ask by Curry Higgins. in the United States
Mar 11,2025

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Neither set of side lengths (12 cm, 14 cm, 16 cm) nor (30 cm, 32 cm, 34 cm) can form a right triangle.

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The three side lengths that can form a right triangle are 30 centimeters, 32 centimeters, and 34 centimeters. This combination follows the Pythagorean theorem, where the square of the longest side (34 cm) equals the sum of the squares of the other two sides: 30² + 32² = 900 + 1024 = 1924, which is indeed equal to 34². On the other hand, the lengths 12 cm, 14 cm, and 16 cm do not satisfy the Pythagorean theorem as 12² + 14² = 144 + 196 = 340, while 16² = 256. So, they cannot form a right triangle. Always check the sum of the squares to avoid this common mistake!

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