Расчет прямоугольного треугольника с катетом b=3.20 и углом α°=30 и углом β°=60

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 = \(\frac{b}{\sin{β°}}\) = \(\frac{3.20}{\sin{(60°})}\) = \(\mathtt{\text{3.7}}\)c = \(\frac{b}{\cos{α°}}\) = \(\frac{3.20}{\cos{(30°})}\) = \(\mathtt{\text{3.7}}\)

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h = \(b·\sin{α°}\) = \(3.20·\sin{(30°)}\) = \(\mathtt{\text{1.6}}\)h = \(b·\cos{β°}\) = \(3.20·\cos{(60°)}\) = \(\mathtt{\text{1.6}}\)

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a = \(\sqrt{c^2 - b^2}\) = \(\sqrt{\mathtt{\text{3.7}}^2 -3.20^2}\) = \(\sqrt{13.69-10.24}\) = \(\sqrt{3.45}\) = \(\mathtt{\text{1.86}}\)a = \(h·\frac{c}{b}\) =\(\mathtt{\text{1.6}}·\frac{\mathtt{\text{3.7}}}{3.20}\) = \(\mathtt{\text{1.85}}\)a = \(c·\sin{α°}\) = \(\mathtt{\text{3.7}}·\sin{(30°)}\) = \(\mathtt{\text{1.85}}\)a = \(c·\cos{β°}\) = \(\mathtt{\text{3.7}}·\cos{(60°)}\) = \(\mathtt{\text{1.85}}\)a = \(\frac{h}{cos{α°}}\) = \(\frac{\mathtt{\text{1.6}}}{cos{(30°)}}\) = \(\mathtt{\text{1.85}}\)a = \(\frac{h}{sin{β°}}\) = \(\frac{(\mathtt{\text{1.6}})}{sin{(60°)}}\) = \(\mathtt{\text{1.85}}\)a = \(\sqrt{\frac{c^2 + \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{3.7}}^2 + \sqrt{\mathtt{\text{3.7}}^4-4·\mathtt{\text{3.7}}^2·1.6^2}}{2}}\) = \(\sqrt{\frac{13.69+\sqrt{47.2305}}{2}}\) = \(\sqrt{10.3}\) = \(\mathtt{\text{3.21}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{1.6}}·\mathtt{\text{3.7}}}{2}\) = \(\mathtt{\text{2.96}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{3.7}}}{2}\) = \(\mathtt{\text{1.85}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{3.7}}}{2}\) = \(\mathtt{\text{1.85}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{\mathtt{\text{1.86}}+3.20-\mathtt{\text{3.7}}}{2}\) = \(\mathtt{\text{0.68}}\)

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P = \(a+b+c\) = \(\mathtt{\text{1.86}}+3.20+\mathtt{\text{3.7}}\) = \(\mathtt{\text{8.76}}\)