Расчет прямоугольного треугольника с катетом b=0.6 и углом β°=75

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 = \(\frac{b}{\sin{β°}}\) = \(\frac{0.6}{\sin{(75°})}\) = \(\mathtt{\text{0.621}}\)

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α° = \(90°-β°\) = \(90°-75°\) = \(\mathtt{\text{15}}°\)

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h = \(b·\cos{β°}\) = \(0.6·\cos{(75°)}\) = \(\mathtt{\text{0.155}}\)

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a = \(\sqrt{c^2 - b^2}\) = \(\sqrt{\mathtt{\text{0.621}}^2 -0.6^2}\) = \(\sqrt{0.385641-0.36}\) = \(\sqrt{0.025641}\) = \(\mathtt{\text{0.16}}\)a = \(h·\frac{c}{b}\) =\(\mathtt{\text{0.155}}·\frac{\mathtt{\text{0.621}}}{0.6}\) = \(\mathtt{\text{0.16}}\)a = \(c·\sin{α°}\) = \(\mathtt{\text{0.621}}·\sin{(15°)}\) = \(\mathtt{\text{0.161}}\)a = \(c·\cos{β°}\) = \(\mathtt{\text{0.621}}·\cos{(75°)}\) = \(\mathtt{\text{0.161}}\)a = \(\frac{h}{cos{α°}}\) = \(\frac{\mathtt{\text{0.155}}}{cos{(15°)}}\) = \(\mathtt{\text{0.16}}\)a = \(\frac{h}{sin{β°}}\) = \(\frac{(\mathtt{\text{0.155}})}{sin{(75°)}}\) = \(\mathtt{\text{0.16}}\)a = \(\sqrt{\frac{c^2 + \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{0.621}}^2 + \sqrt{\mathtt{\text{0.621}}^4-4·\mathtt{\text{0.621}}^2·0.155^2}}{2}}\) = \(\sqrt{\frac{0.385641+\sqrt{0.111658880781}}{2}}\) = \(\sqrt{0.36}\) = \(\mathtt{\text{0.6}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{0.155}}·\mathtt{\text{0.621}}}{2}\) = \(\mathtt{\text{0.0481}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{0.621}}}{2}\) = \(\mathtt{\text{0.31}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{0.621}}}{2}\) = \(\mathtt{\text{0.31}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{\mathtt{\text{0.16}}+0.6-\mathtt{\text{0.621}}}{2}\) = \(\mathtt{\text{0.0695}}\)

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P = \(a+b+c\) = \(\mathtt{\text{0.16}}+0.6+\mathtt{\text{0.621}}\) = \(\mathtt{\text{1.38}}\)