Расчет прямоугольного треугольника с катетом a=10 и углом α°=45

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 = \(\frac{a}{\sin{α°}}\) = \(\frac{10}{\sin{(45°})}\) = \(\mathtt{\text{14.1}}\)

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β° = \(90°-α°\) = \(90°-45°\) = \(\mathtt{\text{45}}°\)

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h = \(a·\cos{α°}\) = \(10·\cos{(45°)}\) = \(\mathtt{\text{7.07}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{14.1}}^2-10^2}\) = \(\sqrt{198.81-100}\) = \(\sqrt{98.81}\) = \(\mathtt{\text{9.94}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{7.07}}·\frac{\mathtt{\text{14.1}}}{10}\) = \(\mathtt{\text{9.97}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{14.1}}·\cos{(45°)}\) = \(\mathtt{\text{9.97}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{14.1}}·\sin{(45°)}\) = \(\mathtt{\text{9.97}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{7.07}}}{sin{(45°)}}\) = \(\mathtt{\text{10}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{7.07}}}{sin{(45°)}}\) = \(\mathtt{\text{10}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{14.1}}^2 - \sqrt{\mathtt{\text{14.1}}^4-4·\mathtt{\text{14.1}}^2·\mathtt{\text{7.07}}^2}}{2}}\) = \(\sqrt{\frac{198.81-\sqrt{-224.575776000005}}{2}}\) = \(\sqrt{99.4 - 7.49 i}\) = \(9.97020561473032 \sqrt{1 - 0.0753777603153863 i}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{7.07}}·\mathtt{\text{14.1}}}{2}\) = \(\mathtt{\text{49.8}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{14.1}}}{2}\) = \(\mathtt{\text{7.05}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{14.1}}}{2}\) = \(\mathtt{\text{7.05}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{10+\mathtt{\text{9.97}}-\mathtt{\text{14.1}}}{2}\) = \(\mathtt{\text{2.93}}\)

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P = \(a+b+c\) = \(10+\mathtt{\text{9.97}}+\mathtt{\text{14.1}}\) = \(\mathtt{\text{34.1}}\)