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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
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- 10
- 8
- 4
- 0
- 10
Correct Option: B
According to question ,
In a right angled triangle,
(Hypotenuse)² = (Perpendicular)² + (Base)²
⇒ (x + 2)² = (x – 2)² + x²
⇒ x² + 4x + 4 = x² – 4x + 4 + x²
⇒ x² – 8x = 0
⇒ x (x – 8) = 0
⇒ x = 8
