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Aptitude · Q131

Triangles

Competitive Exams · Aptitude · question 131

Q131

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 + cb + ca
This is true only when a = b = c
So, triangle will be equilateral