Q.

If the Cosines of the angles of a triangle are proportional to opposite sides, then the triangle is

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a

Isosceles

b

Right angled

c

Equilateral

d

Right angled isosceles

answer is C.

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Detailed Solution

Given CosAa=CosBb=cosCc; Also a=2RsinA, b=2R sinB, c=2RsinC by sine rule⇒CosA2RsinA=CosB2R sinB=cosC2RsinC⇒cotA=cotB=cotC⇒A=B=C⇒the triangle is equilateral

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