SSC CGL 26 Oct 2014 Shift 2 Paper

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Question : 123 of 200

Marks: +1, -0

If the measures of the sides of triangle are (

x^2

– 1), (

x^2

+ 1) and 2x cm, then the triangle would be

equilateral
acute-angled
isosceles
right-angled

Solution:

(2 x)^2 + (x^2 – 1)^2

= 4

x^2

+

x^4 – 2 x^2

+1
=

x^4 + 2 x^2

+1 =

(x^2 + 1)^2

It is a right angled triangle,

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