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Question

If a, b, c are sides of a triangle such that a2+b2+c2 = ab + bc + ac. Then the triangles are:

A
equilateral
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B
isosceles
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C
right angled
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D
obtuse angled
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Solution

The correct option is A equilateral

Ans: a) equilateral.

Substitute values and check. 2,2,2 for equilateral; 2,2,3 for isosceles; 3,4,5 for right angled. The equation holds only for equilateral triangles


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