Question

use the information to answer the question.
a right triangle has side lengths of 5 inches, 12 inches, and 13 inches. the triangle will be rotated 180° about a point.
what is the length of the longest side of the triangle after the rotation? enter the answer in the box.

inches

Explanation:

Step1: Recall the property of rotation

Rotation is a rigid transformation. Rigid transformations (such as rotation, translation, reflection) preserve the shape and size of a figure. That is, the lengths of the sides of the figure do not change after a rotation.

Step2: Identify the longest side before rotation

The side lengths of the right - triangle are \(5\) inches, \(12\) inches, and \(13\) inches. Since \(13>12 > 5\), the longest side before rotation is \(13\) inches.

Answer:

\(13\)