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Aptitude · Q198

Geometry

Competitive Exams · Aptitude · question 198

Q198

Length of the sides of a triangle are a, b and c respectively. If a2 + b2 + c2 = ab + bc + ca then the triangle is

A.
isosceles
B.
equilateral
Answer
C.
scalene
D.
right-angled

Answer: Option B

Solution

Answer: Option B
Solution:
a2 + b2 + c2 = ab + bc + ca
This is true only when a = b = c
So, triangle will be equilateral.