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The perimeter of a triangle ABC is six t...

The perimeter of a triangle ABC is six times the arithmetic mean of the sines of its angles. If the side `a is 1` then find angle `Adot`

Text Solution

Verified by Experts

given that `a + b + c = 6 xx (sin A + sin B + sin C)/(3)`
or `2R (sin A + sin B + sin C) = 2 (sin A + sin B + sin C)`
`rArr R = 1`
Now, `(a)/(sin A) = 2R`
or `sin A = (1)/(2) ( :' a = 1) rArr A = 30^(@)`
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