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