The length of the three sides of a right angled triangle are (x - 2) cm, (x) cm and (x + 2) cm respectively. Then the value of x is

Answer: Option B

According to question,
ABC is a right angle triangle

∴ Apply Pythagoras theorem
AC² = AB² +BC²
(x + 2)² = (x - 2)² + x²
x² + 4 + 4x = x² + 4 - 4x + x²
x² = 8x
x = 8

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Alternate : From option approach
$$\begin{array}{rl}& \left(x-2\right)x\left(x+2\right)\\ & \downarrow \downarrow \downarrow \\ & 6810\\ & \downarrow \\ & \text{Triplet}\\ & \text{x}=\text{8}\end{array}$$