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Luas segitiga siku-siku RST dengan sisi tegak RS adalah 20 c m 2 . Tentukan nilai sinus, cosinus, dan tangen untuk sudut lancip T !

Luas segitiga siku-siku RST dengan sisi tegak RS adalah $20 c m^{2}$ . Tentukan nilai sinus, cosinus, dan tangen untuk sudut lancip T !

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Misalkan sisi alas segitiga x dan tingginya adalah y sehingga didapat,

$20 space equals space 1 half xy xy space equals space 40 straight x space equals space 40 over straight y straight s space equals space square root of straight x squared plus open parentheses 40 over straight y close parentheses squared end root straight s space equals space square root of straight x squared plus 1600 over straight y squared end root straight s space equals space square root of fraction numerator straight x squared straight y squared plus 1600 over denominator straight y squared end fraction end root straight s space equals space fraction numerator square root of straight x squared straight y squared plus 1600 end root over denominator straight y end fraction sin space straight T space equals space fraction numerator straight y over denominator fraction numerator square root of straight x squared straight y squared plus 1600 end root over denominator straight y end fraction end fraction sin space straight T space equals fraction numerator space straight y squared over denominator square root of straight x squared straight y squared plus 1600 end root end fraction cos space straight T space equals space fraction numerator xy over denominator square root of straight x squared straight y squared plus 1600 end root end fraction tan space straight T space equals space straight x over straight y$