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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; 1,1,2 for isosceles, 3,4,5 for right angled. The equation holds only for equilateral triangles


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