Расчет прямоугольного треугольника с катетом a=1 и углом α°=30

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 = \(\frac{a}{\sin{α°}}\) = \(\frac{1}{\sin{(30°})}\) = \(\mathtt{\text{2}}\)

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β° = \(90°-α°\) = \(90°-30°\) = \(\mathtt{\text{60}}°\)

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h = \(a·\cos{α°}\) = \(1·\cos{(30°)}\) = \(\mathtt{\text{0.866}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{2}}^2-1^2}\) = \(\sqrt{4-1}\) = \(\sqrt{3}\) = \(\mathtt{\text{1.73}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{0.866}}·\frac{\mathtt{\text{2}}}{1}\) = \(\mathtt{\text{1.73}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{2}}·\cos{(30°)}\) = \(\mathtt{\text{1.73}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{2}}·\sin{(60°)}\) = \(\mathtt{\text{1.73}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{0.866}}}{sin{(30°)}}\) = \(\mathtt{\text{1.73}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{0.866}}}{sin{(60°)}}\) = \(\mathtt{\text{1.73}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{2}}^2 - \sqrt{\mathtt{\text{2}}^4-4·\mathtt{\text{2}}^2·\mathtt{\text{0.866}}^2}}{2}}\) = \(\sqrt{\frac{4-\sqrt{4.000704}}{2}}\) = \(\sqrt{1.0}\) = \(\mathtt{\text{1}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{0.866}}·\mathtt{\text{2}}}{2}\) = \(\mathtt{\text{0.866}}\)

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

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

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r = \(\frac{a+b-c}{2}\) = \(\frac{1+\mathtt{\text{1.73}}-\mathtt{\text{2}}}{2}\) = \(\mathtt{\text{0.365}}\)

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P = \(a+b+c\) = \(1+\mathtt{\text{1.73}}+\mathtt{\text{2}}\) = \(\mathtt{\text{4.73}}\)