If the measures of the sides of triangle are (x² - 1), (x² + 1) and 2x cm, then the triangle would be :

A. Equilateral

B. Acute-angled

C. Right-Angled

D. Isosceles

Answer: Option C

Solution(By Examveda Team)

According to question,

Sides AB = x² - 1
          BC = 2x
          AC = x² + 1
By using Pythagoras theorem
AC² = AB² + BC²
(x² + 1)² = (x² - 1)² + (2x)²
x⁴ + 1 + 2x² = x² + 1 - 2x² + 4x²
(x² + 1)² = (x² + 1)²
∴ The triangle is right angle Δ