Расчет прямоугольного треугольника с катетом a=0.2 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 = \(\frac{a}{\sin{α°}}\) = \(\frac{0.2}{\sin{(30°})}\) = \(\mathtt{\text{0.4}}\)

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

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h = \(a·\cos{α°}\) = \(0.2·\cos{(30°)}\) = \(\mathtt{\text{0.173}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{0.4}}^2-0.2^2}\) = \(\sqrt{0.16-0.04}\) = \(\sqrt{0.12}\) = \(\mathtt{\text{0.346}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{0.173}}·\frac{\mathtt{\text{0.4}}}{0.2}\) = \(\mathtt{\text{0.346}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{0.4}}·\cos{(30°)}\) = \(\mathtt{\text{0.346}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{0.4}}·\sin{(60°)}\) = \(\mathtt{\text{0.346}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{0.173}}}{sin{(30°)}}\) = \(\mathtt{\text{0.346}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{0.173}}}{sin{(60°)}}\) = \(\mathtt{\text{0.346}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{0.4}}^2 - \sqrt{\mathtt{\text{0.4}}^4-4·\mathtt{\text{0.4}}^2·\mathtt{\text{0.173}}^2}}{2}}\) = \(\sqrt{\frac{0.16-\sqrt{0.00644544}}{2}}\) = \(\sqrt{0.0399}\) = \(\mathtt{\text{0.2}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{0.173}}·\mathtt{\text{0.4}}}{2}\) = \(\mathtt{\text{0.0346}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{0.4}}}{2}\) = \(\mathtt{\text{0.2}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{0.4}}}{2}\) = \(\mathtt{\text{0.2}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{0.2+\mathtt{\text{0.346}}-\mathtt{\text{0.4}}}{2}\) = \(\mathtt{\text{0.073}}\)

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P = \(a+b+c\) = \(0.2+\mathtt{\text{0.346}}+\mathtt{\text{0.4}}\) = \(\mathtt{\text{0.946}}\)