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F4 Maths sine formula

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發問:

In triangle ABC, AC = 10 cm and angle ABC = 62 degree. D is a point on BC such that AB = AD and BD = 7 cm. ( a ) Find AD ( b ) Find angle ACD Picture: http://img132.imageshack.us/i/22143004.jpg/

最佳解答:

a) ABD=ADB=62 ( AB=AD) then BAD=180-ABD-ADB=180-62-62=56 sinBAD/BD=sinABD/AD =>sin56/7=sin62/AD =>AD=7.46 cm// b)sinADC/AC=sinACD/AD =>sin(180-62)/10=sinACD/7.46 =>ACD=41.20 degree //

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