Question

The sides of triangle are 11,12 and 15 .Determine whether it is a right-angled triangle.

Answer 1

The sides of the triangle are 11, 12 and 15 units.
The longest side is 15 units.
(15)² = 225 ...(1)
Now, we will calculate the sum of the squares of other two sides .
(11)² + (12)² = 121+144 = 265 ...(2)
From equations (1) and (2), we get:
(15)² $\ne$(11)² +(12)²
Thus, these are not the sides of a right-angled triangle by the converse of Pythagoras' Theorem.