Question

The angles of a triangle are in the ratio 3 : 5 : 10. Then, the ratio of the smallest side to the greatest side is 1 : 2 sin 10° 1 : sin 10° 1 : cos 10° 1 : 2 cos 10°

Solution

The correct option is D 1 : 2 cos 10° Let the angles of a triangle are 3x, 5x and 10x.∴3x+5x+10x=1800⇒x=100∴Smallest angle of a triangle=300 and the greatest angle =1000Required ratio=sin300:sin1000=1/2:cos100=1:2cos100

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