Question

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 =

Answer 1

yes a right triangle

Explanation:

Using the converse of Pythagoras' theorem.

If the square on the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 61 and 61² = 3721 , then

60² + 11² = 3600 + 121 = 3721

Since 61² = 60² + 11² then the triangle is right.