If a, b, c are sides of a triangle such that a 2 + b 2 + c 2 =ab+bc+ac. Then the triangles are: Options: A . &nbspequilateral B . &nbspisosceles C . &nbspright angled D . &nbspobtuse angled

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

Question

If a, b, c are sides of a triangle such that

a^{2} + b^{2} + c^{2}

=ab+bc+ac. Then the triangles are:

Options:

A . equilateral

B . isosceles

C . right angled

D . obtuse angled

Answer: Option A
:
A
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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