Расчет прямоугольного треугольника с катетом a=5 и углом α°=33

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 = \(\frac{a}{\sin{α°}}\) = \(\frac{5}{\sin{(33°})}\) = \(\mathtt{\text{9.18}}\)

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β° = \(90°-α°\) = \(90°-33°\) = \(\mathtt{\text{57}}°\)

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h = \(a·\cos{α°}\) = \(5·\cos{(33°)}\) = \(\mathtt{\text{4.19}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{9.18}}^2-5^2}\) = \(\sqrt{84.2724-25}\) = \(\sqrt{59.2724}\) = \(\mathtt{\text{7.7}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{4.19}}·\frac{\mathtt{\text{9.18}}}{5}\) = \(\mathtt{\text{7.69}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{9.18}}·\cos{(33°)}\) = \(\mathtt{\text{7.7}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{9.18}}·\sin{(57°)}\) = \(\mathtt{\text{7.7}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{4.19}}}{sin{(33°)}}\) = \(\mathtt{\text{7.69}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{4.19}}}{sin{(57°)}}\) = \(\mathtt{\text{7.69}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{9.18}}^2 - \sqrt{\mathtt{\text{9.18}}^4-4·\mathtt{\text{9.18}}^2·\mathtt{\text{4.19}}^2}}{2}}\) = \(\sqrt{\frac{84.2724-\sqrt{1183.8586752}}{2}}\) = \(\sqrt{24.9}\) = \(\mathtt{\text{4.99}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{4.19}}·\mathtt{\text{9.18}}}{2}\) = \(\mathtt{\text{19.2}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{9.18}}}{2}\) = \(\mathtt{\text{4.59}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{9.18}}}{2}\) = \(\mathtt{\text{4.59}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{5+\mathtt{\text{7.69}}-\mathtt{\text{9.18}}}{2}\) = \(\mathtt{\text{1.76}}\)

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P = \(a+b+c\) = \(5+\mathtt{\text{7.69}}+\mathtt{\text{9.18}}\) = \(\mathtt{\text{21.9}}\)