Расчет прямоугольного треугольника с катетом a=1390 и углом β°=46

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 = \(\frac{a}{\cos{β°}}\) = \(\frac{1390}{\cos{(46°})}\) = \(\mathtt{\text{2e+03}}\)

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α° = \(90°-β°\) = \(90°-46°\) = \(\mathtt{\text{44}}°\)

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h = \(a·\sin{β°}\) = \(1390·\sin{(46°)}\) = \(\mathtt{\text{1e+03}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{2e+03}}^2-1390^2}\) = \(\sqrt{4000000.0-1932100}\) = \(\sqrt{2067900.0}\) = \(\mathtt{\text{1.44e+03}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{1e+03}}·\frac{\mathtt{\text{2e+03}}}{1390}\) = \(\mathtt{\text{1.44e+03}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{2e+03}}·\cos{(44°)}\) = \(\mathtt{\text{1.44e+03}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{2e+03}}·\sin{(46°)}\) = \(\mathtt{\text{1.44e+03}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{1e+03}}}{sin{(44°)}}\) = \(\mathtt{\text{1.44e+03}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{1e+03}}}{sin{(46°)}}\) = \(\mathtt{\text{1.44e+03}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{2e+03}}^2 - \sqrt{\mathtt{\text{2e+03}}^4-4·\mathtt{\text{2e+03}}^2·\mathtt{\text{1e+03}}^2}}{2}}\) = \(\sqrt{\frac{4000000.0-\sqrt{0}}{2}}\) = \(\sqrt{2.0 \cdot 10^{6}}\) = \(\mathtt{\text{1.41e+03}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{1e+03}}·\mathtt{\text{2e+03}}}{2}\) = \(\mathtt{\text{1e+06}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{2e+03}}}{2}\) = \(\mathtt{\text{1e+03}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{2e+03}}}{2}\) = \(\mathtt{\text{1e+03}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{1390+\mathtt{\text{1.44e+03}}-\mathtt{\text{2e+03}}}{2}\) = \(\mathtt{\text{415}}\)

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P = \(a+b+c\) = \(1390+\mathtt{\text{1.44e+03}}+\mathtt{\text{2e+03}}\) = \(\mathtt{\text{4.83e+03}}\)