Расчет прямоугольного треугольника с катетом b=3,25 и углом α°=20

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 = \(\frac{b}{\cos{α°}}\) = \(\frac{3,25}{\cos{(20°})}\) = \(\mathtt{\text{3.19}}\)

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β° = \(90°-α°\) = \(90°-20°\) = \(\mathtt{\text{70}}°\)

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h = \(b·\sin{α°}\) = \(3,25·\sin{(20°)}\) = \(\mathtt{\text{1.03}}\)

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a = \(\sqrt{c^2 - b^2}\) = \(\sqrt{\mathtt{\text{3.19}}^2 -3,25^2}\) = \(\sqrt{10.1761-9}\) = \(\sqrt{1.1761}\) = \(\mathtt{\text{1.08}}\)a = \(h·\frac{c}{b}\) =\(\mathtt{\text{1.03}}·\frac{\mathtt{\text{3.19}}}{3,25}\) = \(\mathtt{\text{1.1}}\)a = \(c·\sin{α°}\) = \(\mathtt{\text{3.19}}·\sin{(20°)}\) = \(\mathtt{\text{1.09}}\)a = \(c·\cos{β°}\) = \(\mathtt{\text{3.19}}·\cos{(70°)}\) = \(\mathtt{\text{1.09}}\)a = \(\frac{h}{cos{α°}}\) = \(\frac{\mathtt{\text{1.03}}}{cos{(20°)}}\) = \(\mathtt{\text{1.1}}\)a = \(\frac{h}{sin{β°}}\) = \(\frac{(\mathtt{\text{1.03}})}{sin{(\mathtt{\text{70}}°)}}\) = \(\mathtt{\text{1.1}}\)a = \(\sqrt{\frac{c^2 + \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{3.19}}^2 + \sqrt{\mathtt{\text{3.19}}^4-4·\mathtt{\text{3.19}}^2·1.03^2}}{2}}\) = \(\sqrt{\frac{10.1761+\sqrt{60.36971325}}{2}}\) = \(\sqrt{8.97}\) = \(\mathtt{\text{3}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{1.03}}·\mathtt{\text{3.19}}}{2}\) = \(\mathtt{\text{1.64}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{3.19}}}{2}\) = \(\mathtt{\text{1.59}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{3.19}}}{2}\) = \(\mathtt{\text{1.59}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{\mathtt{\text{1.08}}+3,25-\mathtt{\text{3.19}}}{2}\) = \(\mathtt{\text{0.445}}\)

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P = \(a+b+c\) = \(\mathtt{\text{1.08}}+3,25+\mathtt{\text{3.19}}\) = \(\mathtt{\text{7.27}}\)