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Question

In a triangle a2+b2+c2=ca+ab3, then triangle is

A
Equilateral
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B
Right angled and isosceles
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C
Right angled
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D
None of these
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Solution

The correct option is C Right angled
Given, a2+b2+c2=ca+ab3a2+b2+c2caab3=0(a32b)2+(a2c)2=0a=2b3 and a=c2We can see, a2+b2=c2sinB=ba=321Not isoscelesGiven triangle is a Right angled triangle which is not isosceles.
Option C is correct.

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