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In ∆ rst angle s =90° r= 30° angle t= 60° and rt=14 CM find rs, st

Answer»

Step-by-step EXPLANATION:

cos60 = \frac{st}{rt} \\ \: \: \: \: \: \: \: \: \: \: \frac{1}{2} = \frac{st}{14} \\ \: \: \: \: \: \: 2st = 14 \\ \: \: \: \: \: \: \: st = 7 \\ \\ and \: \: \: \: \: sin60 = \frac{rs}{rt} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ \sqrt{3} }{2} = \frac{st}{14} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2rs = 14 \sqrt{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: rs = 7 \sqrt{3}


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