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TS EAMCET · Maths · Properties of Triangles

In a triangle ABC, if b=7,c=43 and A=π6 then asinBsinC=

  1. A 1312
  2. B 1373
  3. C 1213
  4. D 7313
Verified Solution

Answer & Solution

Correct Answer

(D) 7313

Step-by-step Solution

Detailed explanation

Given: A=π6 b=7 C=43 By cosine rule, cosA=b2+c2-a22bc ⇒cosπ6=49+48−a2563 ⇒32=97−a2563 ⇒97−a2=84⇒a2=13 ⇒a=13 Also by sine rule asinA=csinC ⇒13sinπ6=43sinC ⇒sinC=12×4313 ⇒sinC=2313 Also,…
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