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If the measures of the sides of triangle are (x2 – 1), (x2 + 1) and 2x cm, then the triangle would be
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- equilateral
- acute-angled
- isosceles
- right-angled
- equilateral
Correct Option: D
Let a = (x2 – 1), b = (x2 + 1) and c = 2x cm,
Now c² + a² = (2x)² + (x² – 1)²
c² + a² = 4x² + x² – 2x² + 1
c² + a² = x² + 2x² + 1
c² + a² = (x² + 1)² = b²
From above clear that it is a right angled triangle .
