Расчет прямоугольного треугольника с катетом b=3.38 и углом α°=40 и углом β°=50

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 = \(\frac{b}{\sin{β°}}\) = \(\frac{3.38}{\sin{(50°})}\) = \(\mathtt{\text{4.41}}\)c = \(\frac{b}{\cos{α°}}\) = \(\frac{3.38}{\cos{(40°})}\) = \(\mathtt{\text{4.41}}\)

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h = \(b·\sin{α°}\) = \(3.38·\sin{(40°)}\) = \(\mathtt{\text{2.17}}\)h = \(b·\cos{β°}\) = \(3.38·\cos{(50°)}\) = \(\mathtt{\text{2.17}}\)

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a = \(\sqrt{c^2 - b^2}\) = \(\sqrt{\mathtt{\text{4.41}}^2 -3.38^2}\) = \(\sqrt{19.4481-11.4244}\) = \(\sqrt{8.0237}\) = \(\mathtt{\text{2.83}}\)a = \(h·\frac{c}{b}\) =\(\mathtt{\text{2.17}}·\frac{\mathtt{\text{4.41}}}{3.38}\) = \(\mathtt{\text{2.83}}\)a = \(c·\sin{α°}\) = \(\mathtt{\text{4.41}}·\sin{(40°)}\) = \(\mathtt{\text{2.83}}\)a = \(c·\cos{β°}\) = \(\mathtt{\text{4.41}}·\cos{(50°)}\) = \(\mathtt{\text{2.83}}\)a = \(\frac{h}{cos{α°}}\) = \(\frac{\mathtt{\text{2.17}}}{cos{(40°)}}\) = \(\mathtt{\text{2.83}}\)a = \(\frac{h}{sin{β°}}\) = \(\frac{(\mathtt{\text{2.17}})}{sin{(50°)}}\) = \(\mathtt{\text{2.83}}\)a = \(\sqrt{\frac{c^2 + \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{4.41}}^2 + \sqrt{\mathtt{\text{4.41}}^4-4·\mathtt{\text{4.41}}^2·2.17^2}}{2}}\) = \(\sqrt{\frac{19.4481+\sqrt{11.9119612500001}}{2}}\) = \(\sqrt{11.4}\) = \(\mathtt{\text{3.38}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{2.17}}·\mathtt{\text{4.41}}}{2}\) = \(\mathtt{\text{4.78}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{4.41}}}{2}\) = \(\mathtt{\text{2.21}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{4.41}}}{2}\) = \(\mathtt{\text{2.21}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{\mathtt{\text{2.83}}+3.38-\mathtt{\text{4.41}}}{2}\) = \(\mathtt{\text{0.9}}\)

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P = \(a+b+c\) = \(\mathtt{\text{2.83}}+3.38+\mathtt{\text{4.41}}\) = \(\mathtt{\text{10.6}}\)