# Determine whether the triangle having sides (a – 1) cm, cm and (a + 1) cm is a right angled triangle.

Let ABC be the triangle

Where AB=(a-1)2 cm

BC=2√a cm

CA=(a+1) cm

AB2=(a-1)2=a2+1-2a

BC2=(2√a)2=4a2

CA2=(a+1)2=a2+1+2a

Hence AB2+BC2=AC2

SO ΔABC is a right angles triangle at B

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