The lengths of the three sides of a triangle are 10, 14, and 18 inches. Determine whether this triangle is a right triangle. In a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse. Also, the hypotenuse is the longest side of a right triangle. a² + b² = c² {Pythagorean Theorem says sum of squares of legs equals square of hypotenuse} 10² + 14² = 18² {substituted given lengths into Pythagorean Theorem} 100 + 196 = 324 {evaluated exponents} 296 ≠ 324 {added on left side} The triangle is not a right triangle.  Algebra House Comments are closed.

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