Расчет прямоугольного треугольника с катетом b=3,5 и углом α°=35 и углом β°=55

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 = \(\frac{b}{\sin{β°}}\) = \(\frac{3,5}{\sin{(55°})}\) = \(\mathtt{\text{3.66}}\)c = \(\frac{b}{\cos{α°}}\) = \(\frac{3,5}{\cos{(35°})}\) = \(\mathtt{\text{3.66}}\)

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h = \(b·\sin{α°}\) = \(3,5·\sin{(35°)}\) = \(\mathtt{\text{1.72}}\)h = \(b·\cos{β°}\) = \(3,5·\cos{(55°)}\) = \(\mathtt{\text{1.72}}\)

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a = \(\sqrt{c^2 - b^2}\) = \(\sqrt{\mathtt{\text{3.66}}^2 -3,5^2}\) = \(\sqrt{13.3956-9}\) = \(\sqrt{4.3956}\) = \(\mathtt{\text{2.1}}\)a = \(h·\frac{c}{b}\) =\(\mathtt{\text{1.72}}·\frac{\mathtt{\text{3.66}}}{3,5}\) = \(\mathtt{\text{2.1}}\)a = \(c·\sin{α°}\) = \(\mathtt{\text{3.66}}·\sin{(35°)}\) = \(\mathtt{\text{2.1}}\)a = \(c·\cos{β°}\) = \(\mathtt{\text{3.66}}·\cos{(55°)}\) = \(\mathtt{\text{2.1}}\)a = \(\frac{h}{cos{α°}}\) = \(\frac{\mathtt{\text{1.72}}}{cos{(35°)}}\) = \(\mathtt{\text{2.1}}\)a = \(\frac{h}{sin{β°}}\) = \(\frac{(\mathtt{\text{1.72}})}{sin{(55°)}}\) = \(\mathtt{\text{2.1}}\)a = \(\sqrt{\frac{c^2 + \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{3.66}}^2 + \sqrt{\mathtt{\text{3.66}}^4-4·\mathtt{\text{3.66}}^2·1.72^2}}{2}}\) = \(\sqrt{\frac{13.3956+\sqrt{20.9239272}}{2}}\) = \(\sqrt{8.98}\) = \(\mathtt{\text{3}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{1.72}}·\mathtt{\text{3.66}}}{2}\) = \(\mathtt{\text{3.15}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{3.66}}}{2}\) = \(\mathtt{\text{1.83}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{3.66}}}{2}\) = \(\mathtt{\text{1.83}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{\mathtt{\text{2.1}}+3,5-\mathtt{\text{3.66}}}{2}\) = \(\mathtt{\text{0.72}}\)

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P = \(a+b+c\) = \(\mathtt{\text{2.1}}+3,5+\mathtt{\text{3.66}}\) = \(\mathtt{\text{8.76}}\)