Расчет прямоугольного треугольника с катетом a=490 и углом β°=1

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 = \(\frac{a}{\cos{β°}}\) = \(\frac{490}{\cos{(1°})}\) = \(\mathtt{\text{490}}\)

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α° = \(90°-β°\) = \(90°-1°\) = \(\mathtt{\text{89}}°\)

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h = \(a·\sin{β°}\) = \(490·\sin{(1°)}\) = \(\mathtt{\text{8.55}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{490}}^2-490^2}\) = \(\sqrt{240100-240100}\) = \(\sqrt{0}\) = \(\mathtt{\text{0}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{8.55}}·\frac{\mathtt{\text{490}}}{490}\) = \(\mathtt{\text{8.55}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{490}}·\cos{(89°)}\) = \(\mathtt{\text{8.55}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{490}}·\sin{(1°)}\) = \(\mathtt{\text{8.55}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{8.55}}}{sin{(89°)}}\) = \(\mathtt{\text{8.55}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{8.55}}}{sin{(1°)}}\) = \(\mathtt{\text{8.55}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{490}}^2 - \sqrt{\mathtt{\text{490}}^4-4·\mathtt{\text{490}}^2·\mathtt{\text{8.55}}^2}}{2}}\) = \(\sqrt{\frac{240100-\sqrt{57577802359.0}}{2}}\) = \(\sqrt{73.1}\) = \(\mathtt{\text{8.55}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{8.55}}·\mathtt{\text{490}}}{2}\) = \(\mathtt{\text{2.09e+03}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{490}}}{2}\) = \(\mathtt{\text{245}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{490}}}{2}\) = \(\mathtt{\text{245}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{490+\mathtt{\text{8.55}}-\mathtt{\text{490}}}{2}\) = \(\mathtt{\text{4.28}}\)

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P = \(a+b+c\) = \(490+\mathtt{\text{8.55}}+\mathtt{\text{490}}\) = \(\mathtt{\text{989}}\)