Use the converse of the Pythagorean Theorem to check whether a triangle whose sides are of lengths 11,60 , and 61 is a right triangle. First square the lengths of the sides. \[ 11^{2}= \] \[ 60^{2}= \] \[ 61^{2}= \] In the given triangle, are there two sides that when squared and added together equal the square of the third side? Yes No Is the triangle a right triangle? Yes No

Step 1 ：Given a triangle with sides of lengths 11, 60, and 61, we are to determine if it is a right triangle.

Step 2 ：First, we square the lengths of the sides: \(11^{2} = 121\), \(60^{2} = 3600\), and \(61^{2} = 3721\).

Step 3 ：We then check if the sum of the squares of two of the sides equals the square of the remaining side. In this case, we check if \(11^{2} + 60^{2} = 61^{2}\).

Step 4 ：Calculating, we find that \(121 + 3600 = 3721\).

Step 5 ：Since the sum of the squares of the sides 11 and 60 equals the square of the side 61, the triangle with sides 11, 60, and 61 is a right triangle according to the Pythagorean theorem.

Step 6 ：\(\boxed{\text{Yes, the triangle with sides 11, 60, and 61 is a right triangle.}}\)