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 squared 112 equals= 121
The Pythagorean theorem states that: c^2=a^2+b^2 where; c=hypotenuse a and b are the legs Therefore, testing the triangle whose dimensions are: 11,60 and 61 taking 11 and 60 as the legs and 61 as the hypotenuse, we shall have: 61^2=11^2+60^2 3721=121+3600 3721=3721 since the LHS=RHS it implies that the triangle satisfies the Pythagorean theorem hence we conclude that it is a right angled triangle