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Problem 401

A triangle has sides that measure 20,21 , and 29 inches. Determine whether the triangle is a right triangle.

Expert verified

The triangle with sides measuring 20 inches, 21 inches, and 29 inches does not satisfy the Pythagorean theorem (a^2 + b^2 = c^2) for any combination of sides, so it is not a right triangle.

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Chapter 21

A rectangle has dimensions \(5 \mathrm{X} 12 \mathrm{ft}\). What is the length of one of its diagonals?

Chapter 21

The legs of a certain right triangle are equal and the hypotenuse is \((\sqrt{8})\). What is the length of either leg of the triangle?

Chapter 21

The legs of a right triangle are 3 feet and 4 feet in length. What is the length of the hypotenuse of the triangle?

Chapter 21

Show that if \(\mathrm{d}\) is the length of a diagonal of a rectangular solid in which every pair of intersecting edges is perpendicular, then \(\mathrm{d}^{2}=\mathrm{a}^{2}+\mathrm{b}^{2}+\mathrm{c}^{2}\), where \(\mathrm{a}, \mathrm{b}\), and \(\mathrm{c}\) are the lengths of the edges.

Chapter 21

The lengths of the sides of a triangle are 8,15 , and 17 . Show that the triangle is a right triangle.

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