Maharashtra State BoardHSC Arts 12th Board Exam
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In Δ ABC, if a = 13, b = 14 and c = 15, then sin (A/2) - Mathematics and Statistics

In Δ ABC, if a = 13, b = 14 and c = 15, then sin (A/2)= _______.

(A) `1/5`

(B) `sqrt(1/5)`

(C) `4/5`

(D) `2/5`

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Solution

(B) `sqrt(1/5)`

`s=(a+b+c)/2=(13+14+15)/2=21`

`sin(A/2)=sqrt(((s-b)(s-c))/(bc))=sqrt(((21-14)(21-15))/(14xx15))=sqrt(1/5)`

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