Questions
If the Cosines of the angles of a triangle are proportional to opposite sides, then the triangle is
a
Isosceles
b
Right angled
c
Equilateral
d
Right angled isosceles
detailed solution
Correct option is C
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 equilateralTalk to our academic expert!
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