Расчет прямоугольного треугольника с катетом a=797.9 и углом α°=66

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 = \(\frac{a}{\sin{α°}}\) = \(\frac{797.9}{\sin{(66°})}\) = \(\mathtt{\text{873}}\)

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β° = \(90°-α°\) = \(90°-66°\) = \(\mathtt{\text{24}}°\)

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h = \(a·\cos{α°}\) = \(797.9·\cos{(66°)}\) = \(\mathtt{\text{325}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{873}}^2-797.9^2}\) = \(\sqrt{762129-636644.41}\) = \(\sqrt{125484.59}\) = \(\mathtt{\text{354}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{325}}·\frac{\mathtt{\text{873}}}{797.9}\) = \(\mathtt{\text{356}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{873}}·\cos{(66°)}\) = \(\mathtt{\text{355}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{873}}·\sin{(24°)}\) = \(\mathtt{\text{355}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{325}}}{sin{(66°)}}\) = \(\mathtt{\text{356}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{325}}}{sin{(24°)}}\) = \(\mathtt{\text{356}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{873}}^2 - \sqrt{\mathtt{\text{873}}^4-4·\mathtt{\text{873}}^2·\mathtt{\text{325}}^2}}{2}}\) = \(\sqrt{\frac{762129-\sqrt{258841110141}}{2}}\) = \(\sqrt{1.27 \cdot 10^{5}}\) = \(\mathtt{\text{356}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{325}}·\mathtt{\text{873}}}{2}\) = \(\mathtt{\text{1.42e+05}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{873}}}{2}\) = \(\mathtt{\text{436}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{873}}}{2}\) = \(\mathtt{\text{436}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{797.9+\mathtt{\text{356}}-\mathtt{\text{873}}}{2}\) = \(\mathtt{\text{140}}\)

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P = \(a+b+c\) = \(797.9+\mathtt{\text{356}}+\mathtt{\text{873}}\) = \(\mathtt{\text{2.03e+03}}\)