Расчет прямоугольного треугольника с катетом b=13 и углом α°=9

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 = \(\frac{b}{\cos{α°}}\) = \(\frac{13}{\cos{(9°})}\) = \(\mathtt{\text{13.2}}\)

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β° = \(90°-α°\) = \(90°-9°\) = \(\mathtt{\text{81}}°\)

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h = \(b·\sin{α°}\) = \(13·\sin{(9°)}\) = \(\mathtt{\text{2.03}}\)

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a = \(\sqrt{c^2 - b^2}\) = \(\sqrt{\mathtt{\text{13.2}}^2 -13^2}\) = \(\sqrt{174.24-169}\) = \(\sqrt{5.23999999999998}\) = \(\mathtt{\text{2.29}}\)a = \(h·\frac{c}{b}\) =\(\mathtt{\text{2.03}}·\frac{\mathtt{\text{13.2}}}{13}\) = \(\mathtt{\text{2.06}}\)a = \(c·\sin{α°}\) = \(\mathtt{\text{13.2}}·\sin{(9°)}\) = \(\mathtt{\text{2.06}}\)a = \(c·\cos{β°}\) = \(\mathtt{\text{13.2}}·\cos{(81°)}\) = \(\mathtt{\text{2.06}}\)a = \(\frac{h}{cos{α°}}\) = \(\frac{\mathtt{\text{2.03}}}{cos{(9°)}}\) = \(\mathtt{\text{2.06}}\)a = \(\frac{h}{sin{β°}}\) = \(\frac{(\mathtt{\text{2.03}})}{sin{(\mathtt{\text{81}}°)}}\) = \(\mathtt{\text{2.06}}\)a = \(\sqrt{\frac{c^2 + \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{13.2}}^2 + \sqrt{\mathtt{\text{13.2}}^4-4·\mathtt{\text{13.2}}^2·2.03^2}}{2}}\) = \(\sqrt{\frac{174.24+\sqrt{27487.475136}}{2}}\) = \(\sqrt{170.0}\) = \(\mathtt{\text{13}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{2.03}}·\mathtt{\text{13.2}}}{2}\) = \(\mathtt{\text{13.4}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{13.2}}}{2}\) = \(\mathtt{\text{6.6}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{13.2}}}{2}\) = \(\mathtt{\text{6.6}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{\mathtt{\text{2.29}}+13-\mathtt{\text{13.2}}}{2}\) = \(\mathtt{\text{1.04}}\)

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P = \(a+b+c\) = \(\mathtt{\text{2.29}}+13+\mathtt{\text{13.2}}\) = \(\mathtt{\text{28.5}}\)