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In ΔABC with usual notations, if ∠A = 30° and a = 5, then s∑sinA is equal to ______. -

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Question

In ΔABC with usual notations, if ∠A = 30° and a = 5, then `s/(sumsinA)` is equal to ______.

Options

  • 3.00

  • 4.00

  • 5.00

  • 6.00

MCQ
Fill in the Blanks

Solution

In ΔABC with usual notations, if ∠A = 30° and a = 5, then `s/(sumsinA)` is equal to 5.00.

Explanation:

`(a + b + c)/(2[sinA + sinB + sinC])`

= `(2R[sinA + sinB + sinC])/(2[sinA + sinB + sinC])`

= R = `5/(2sinA)` = `5/(2sin30^circ)` = 5

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