Question number 18 Q18 Given an acute triangle ABC such that sin C = 45, tan A=247 and - Maths - Mathematical Reasoning

Question

Question number 18

Q18 Given an acute triangle ABC such that sin C = 4 5 ,   tan
  A = 24 7 and AB = 50 The area of the triangle ABC

(A) 600 (B) 1200 (C) 1800 (D) 2400

Ghanshyam Dhakar · Accepted Answer

Dear student,
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_59e08f2542315%20jpg">
tanA = BDAD=247⇒AD=7BD24 
1sinA = 24242+72 = 2425=BDABBD = 2425AB=24×5025=48sinC = BDBC=45⇒cosC = 35tanC=43=BDDCDC=34BD = 34×48 = 36AD=7BD24 = 724×48=14area =12AC×BD = 12AD+DC×BD = 1236+14×48  = 1200
Regards

Question number 18 Q18. Given an acute triangle ABC such that sin C = 4 5 , tan A = 24 7 and AB = 50. The area of the triangle ABC (A) 600 (B) 1200 (C) 1800 (D) 2400

Question number 18

Q18. Given an acute triangle ABC such that sin C = $\frac{4}{5}, \tan A = \frac{24}{7}$ and AB = 50. The area of the triangle ABC

(A) 600 (B) 1200 (C) 1800 (D) 2400