A carpenter wants to make a triangular bracket to hold up a bookshelf. The plan for the bracket shows that the vertices of the triangle are R(−1, 3), S(2, 5), and T(2, −1). Can the carpenter conclude that the bracket is a right triangle? Complete the explanation. The slope of RS =

3

.

The slope of ST = undefined.

The slope of RT =

3

.

There are

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two sides for which the product of the slopes is −1, so

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two sides are perpendicular. This means the triangle

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a right triangle.