sorry abc
Geometry
Level
2
if tan(a)tan(b)tan(c) = tan(a) + tan(b) + tan (c),
a,b,c in AP, a+b+c = 180, a<b<c , find b, 0<b<90
The answer is 60.
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1 solution
Since a<b<c and a,b,c are in AP so let b=x , a=x-d , c=x+d ...Now a+b+c=x+x-d+x+d=3x which is equal to 180...so x=60... Therefore b=x=60.