Расчет прямоугольного треугольника с катетом b=30 и углом α°=60 и углом β°=30

Калькулятор прямоугольного треугольника — это инструмент, который помогает вычислять различные параметры прямоугольного треугольника, такие как длина сторон, площадь, периметр,углы и высоты.

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c = \(\frac{b}{\sin{β°}}\) = \(\frac{30}{\sin{(30°})}\) = \(\mathtt{\text{60}}\)c = \(\frac{b}{\cos{α°}}\) = \(\frac{30}{\cos{(60°})}\) = \(\mathtt{\text{60}}\)

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h = \(b·\sin{α°}\) = \(30·\sin{(60°)}\) = \(\mathtt{\text{26}}\)h = \(b·\cos{β°}\) = \(30·\cos{(30°)}\) = \(\mathtt{\text{26}}\)

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a = \(\sqrt{c^2 - b^2}\) = \(\sqrt{\mathtt{\text{60}}^2 -30^2}\) = \(\sqrt{3600-900}\) = \(\sqrt{2700}\) = \(\mathtt{\text{52}}\)a = \(h·\frac{c}{b}\) =\(\mathtt{\text{26}}·\frac{\mathtt{\text{60}}}{30}\) = \(\mathtt{\text{52}}\)a = \(c·\sin{α°}\) = \(\mathtt{\text{60}}·\sin{(60°)}\) = \(\mathtt{\text{52}}\)a = \(c·\cos{β°}\) = \(\mathtt{\text{60}}·\cos{(30°)}\) = \(\mathtt{\text{52}}\)a = \(\frac{h}{cos{α°}}\) = \(\frac{\mathtt{\text{26}}}{cos{(60°)}}\) = \(\mathtt{\text{52}}\)a = \(\frac{h}{sin{β°}}\) = \(\frac{(\mathtt{\text{26}})}{sin{(30°)}}\) = \(\mathtt{\text{52}}\)a = \(\sqrt{\frac{c^2 + \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{60}}^2 + \sqrt{\mathtt{\text{60}}^4-4·\mathtt{\text{60}}^2·26^2}}{2}}\) = \(\sqrt{\frac{3600+\sqrt{3225600}}{2}}\) = \(\sqrt{2.7 \cdot 10^{3}}\) = \(\mathtt{\text{51.9}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{26}}·\mathtt{\text{60}}}{2}\) = \(\mathtt{\text{780}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{60}}}{2}\) = \(\mathtt{\text{30}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{60}}}{2}\) = \(\mathtt{\text{30}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{\mathtt{\text{52}}+30-\mathtt{\text{60}}}{2}\) = \(\mathtt{\text{11}}\)

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P = \(a+b+c\) = \(\mathtt{\text{52}}+30+\mathtt{\text{60}}\) = \(\mathtt{\text{142}}\)