In triangle ABC ,if A:B:C=5:1:6 then a:b:c is
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Answer (1)
8th Jul, 2020
Since A, B , C are the angles of a triangle and we know that the sum of all angles in a triangle is 180 degrees .
Consider A =5x
B=1x
C=6x
5x+1x+6x=180
12x=180
x=15 degrees
Angles A=5 X 15=75 degrees
B=15 degrees & C= 6X15= 90 degrees
By sine rule we know that (a/sinA)=(b/sinB)=(c/sinc)=2R
hence a=2RsinA, b=2RsinB, c=2RsinC
a:b:c=2RsinA : 2RsinB : 2RsinC
=sinA : sinB : sinC
=sin75 : sin15 : sin90
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