1.

If in a triangleABC, angle A is greatest, also given sinA + sinB + sinC le 1 then value of B + C is

Answer»

LESS than `30^@`
greater than `30^@`
less than `15^@`
greater than `15^@`

Solution :since b+c gt a
`rArr` SIN B + sinC gt sinA
`rArr` sinA+sin B + sinC gt 2 sinA
`rArr` 2sinA lt 1
`rArr` sin A lt `1/2`
But as given A is greatest angle
`rArr A gt 150^@`
`rArr B + C lt 30^@`


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