Расчет прямоугольного треугольника с катетом a=1.76 и углом α°=10

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 = \(\frac{a}{\sin{α°}}\) = \(\frac{1.76}{\sin{(10°})}\) = \(\mathtt{\text{10.1}}\)

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β° = \(90°-α°\) = \(90°-10°\) = \(\mathtt{\text{80}}°\)

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h = \(a·\cos{α°}\) = \(1.76·\cos{(10°)}\) = \(\mathtt{\text{1.73}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{10.1}}^2-1.76^2}\) = \(\sqrt{102.01-3.0976}\) = \(\sqrt{98.9124}\) = \(\mathtt{\text{9.95}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{1.73}}·\frac{\mathtt{\text{10.1}}}{1.76}\) = \(\mathtt{\text{9.93}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{10.1}}·\cos{(10°)}\) = \(\mathtt{\text{9.95}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{10.1}}·\sin{(80°)}\) = \(\mathtt{\text{9.95}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{1.73}}}{sin{(10°)}}\) = \(\mathtt{\text{9.96}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{1.73}}}{sin{(80°)}}\) = \(\mathtt{\text{9.96}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{10.1}}^2 - \sqrt{\mathtt{\text{10.1}}^4-4·\mathtt{\text{10.1}}^2·\mathtt{\text{1.73}}^2}}{2}}\) = \(\sqrt{\frac{102.01-\sqrt{9184.817184}}{2}}\) = \(\sqrt{3.09}\) = \(\mathtt{\text{1.76}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{1.73}}·\mathtt{\text{10.1}}}{2}\) = \(\mathtt{\text{8.74}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{10.1}}}{2}\) = \(\mathtt{\text{5.05}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{10.1}}}{2}\) = \(\mathtt{\text{5.05}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{1.76+\mathtt{\text{9.93}}-\mathtt{\text{10.1}}}{2}\) = \(\mathtt{\text{0.795}}\)

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P = \(a+b+c\) = \(1.76+\mathtt{\text{9.93}}+\mathtt{\text{10.1}}\) = \(\mathtt{\text{21.8}}\)