Question

Determine whether the triangle having sides (a-1) cm, $2\sqrt{a}$ cm and (a+1)cm is a right angled triangle.

Answer 1

In a right-angled triangle, Pythagoras theorem applies,
Hence
Sum of the square of two sides is equal to the square of the third side.

(i)
(ii)
(iii)

(i) + ( ii) = (iii)

Hence, Sum of the square of two sides is equal to the square of the third side.
Therefore it is right-angled triangle.