Расчет прямоугольного треугольника с катетом a=1 и углом β°=20

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 = \(\frac{a}{\cos{β°}}\) = \(\frac{1}{\cos{(20°})}\) = \(\mathtt{\text{1.06}}\)

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α° = \(90°-β°\) = \(90°-20°\) = \(\mathtt{\text{70}}°\)

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h = \(a·\sin{β°}\) = \(1·\sin{(20°)}\) = \(\mathtt{\text{0.342}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{1.06}}^2-1^2}\) = \(\sqrt{1.1236-1}\) = \(\sqrt{0.1236}\) = \(\mathtt{\text{0.352}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{0.342}}·\frac{\mathtt{\text{1.06}}}{1}\) = \(\mathtt{\text{0.363}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{1.06}}·\cos{(70°)}\) = \(\mathtt{\text{0.363}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{1.06}}·\sin{(20°)}\) = \(\mathtt{\text{0.363}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{0.342}}}{sin{(70°)}}\) = \(\mathtt{\text{0.364}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{0.342}}}{sin{(20°)}}\) = \(\mathtt{\text{0.364}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{1.06}}^2 - \sqrt{\mathtt{\text{1.06}}^4-4·\mathtt{\text{1.06}}^2·\mathtt{\text{0.342}}^2}}{2}}\) = \(\sqrt{\frac{1.1236-\sqrt{0.7367939584}}{2}}\) = \(\sqrt{0.133}\) = \(\mathtt{\text{0.364}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{0.342}}·\mathtt{\text{1.06}}}{2}\) = \(\mathtt{\text{0.181}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{1.06}}}{2}\) = \(\mathtt{\text{0.53}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{1.06}}}{2}\) = \(\mathtt{\text{0.53}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{1+\mathtt{\text{0.363}}-\mathtt{\text{1.06}}}{2}\) = \(\mathtt{\text{0.151}}\)

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P = \(a+b+c\) = \(1+\mathtt{\text{0.363}}+\mathtt{\text{1.06}}\) = \(\mathtt{\text{2.42}}\)