Question

The side lengths of a triangle are 9, 11. 6. Is the triangle a right triangle?*

Answer 1

Answer:

No

Step-by-step explanation:

In a right angle triangle, based on Pythagoras theorem, the sum of the squares of the adjacent and opposite sides must equal to the square of the hypotenuse.

     The hypotenuse is the side with the longest length:

            H²  = O²  + A²

 if from the given lengths;

           H = 11, O = 9 and A = 6

Let us see if this is true;

          H²  = 9² + 6²

          H²  = 81 + 36

         H² = 117

But H², 11²  = 121 and this is not true

 The triangle is not a right angled one.