F4 Maths sine formula don know

2010-03-02 5:58 am
In the figure, PQRS is a quadrilateral. PQ = 9 cm, QS = 14 cm,
angle QPS = 106, angle SQR = 55 and QS bisects angle PSR.

( a ) Find angle angle PSQ.

( b ) Find SR.

Figure: http://img705.imageshack.us/i/68802756.jpg/

回答 (1)

2010-03-02 6:45 am
✔ 最佳答案

圖片參考:http://imgcld.yimg.com/8/n/HA04628698/o/701003010179313873414900.jpg


a) sinㄥPSQ / 9 = (sin106) / 14

sinㄥPSQ = (9sin106) / 14

ㄥPSQ = 38.16687434°

b)By a)ㄥPSQ = 38.16687434 = ㄥQSR ,

ㄥQRS = 180 - 55 - 38.16687434 = 86.83312566°

14 / sin86.83312566 = SR / sin55

SR = 14 * (sin55) / sin86.83312566

SR = 11.48567cm


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