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A triangle with sides of lengths 20, 21, and 29 is a right triangle.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Question

A triangle with sides of lengths 20, 21, and 29 is a right triangle.A.TrueB.FalseSUBMITarrow_backPREVIOUS

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Solution

The statement is True. This is because the triangle satisfies the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

In this case: 20² + 21² = 400 + 441 = 841 29² = 841

Since both values are equal, the triangle is a right triangle.

This problem has been solved

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