Расчет прямоугольного треугольника с катетом a=56 и углом α°=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 = \(\frac{a}{\sin{α°}}\) = \(\frac{56}{\sin{(30°})}\) = \(\mathtt{\text{112}}\)

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β° = \(90°-α°\) = \(90°-30°\) = \(\mathtt{\text{60}}°\)

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h = \(a·\cos{α°}\) = \(56·\cos{(30°)}\) = \(\mathtt{\text{48.5}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{112}}^2-56^2}\) = \(\sqrt{12544-3136}\) = \(\sqrt{9408}\) = \(\mathtt{\text{97}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{48.5}}·\frac{\mathtt{\text{112}}}{56}\) = \(\mathtt{\text{97}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{112}}·\cos{(30°)}\) = \(\mathtt{\text{97}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{112}}·\sin{(60°)}\) = \(\mathtt{\text{97}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{48.5}}}{sin{(30°)}}\) = \(\mathtt{\text{97}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{48.5}}}{sin{(60°)}}\) = \(\mathtt{\text{97}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{112}}^2 - \sqrt{\mathtt{\text{112}}^4-4·\mathtt{\text{112}}^2·\mathtt{\text{48.5}}^2}}{2}}\) = \(\sqrt{\frac{12544-\sqrt{39325440.0}}{2}}\) = \(\sqrt{3.14 \cdot 10^{3}}\) = \(\mathtt{\text{56}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{48.5}}·\mathtt{\text{112}}}{2}\) = \(\mathtt{\text{2.72e+03}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{112}}}{2}\) = \(\mathtt{\text{56}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{112}}}{2}\) = \(\mathtt{\text{56}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{56+\mathtt{\text{97}}-\mathtt{\text{112}}}{2}\) = \(\mathtt{\text{20.5}}\)

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P = \(a+b+c\) = \(56+\mathtt{\text{97}}+\mathtt{\text{112}}\) = \(\mathtt{\text{265}}\)