Расчет прямоугольного треугольника с катетом b=0.6 и углом β°=4

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 = \(\frac{b}{\sin{β°}}\) = \(\frac{0.6}{\sin{(4°})}\) = \(\mathtt{\text{8.6}}\)

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α° = \(90°-β°\) = \(90°-4°\) = \(\mathtt{\text{86}}°\)

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h = \(b·\cos{β°}\) = \(0.6·\cos{(4°)}\) = \(\mathtt{\text{0.599}}\)

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a = \(\sqrt{c^2 - b^2}\) = \(\sqrt{\mathtt{\text{8.6}}^2 -0.6^2}\) = \(\sqrt{73.96-0.36}\) = \(\sqrt{73.6}\) = \(\mathtt{\text{8.58}}\)a = \(h·\frac{c}{b}\) =\(\mathtt{\text{0.599}}·\frac{\mathtt{\text{8.6}}}{0.6}\) = \(\mathtt{\text{8.59}}\)a = \(c·\sin{α°}\) = \(\mathtt{\text{8.6}}·\sin{(86°)}\) = \(\mathtt{\text{8.58}}\)a = \(c·\cos{β°}\) = \(\mathtt{\text{8.6}}·\cos{(4°)}\) = \(\mathtt{\text{8.58}}\)a = \(\frac{h}{cos{α°}}\) = \(\frac{\mathtt{\text{0.599}}}{cos{(86°)}}\) = \(\mathtt{\text{8.59}}\)a = \(\frac{h}{sin{β°}}\) = \(\frac{(\mathtt{\text{0.599}})}{sin{(4°)}}\) = \(\mathtt{\text{8.59}}\)a = \(\sqrt{\frac{c^2 + \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{8.6}}^2 + \sqrt{\mathtt{\text{8.6}}^4-4·\mathtt{\text{8.6}}^2·0.599^2}}{2}}\) = \(\sqrt{\frac{73.96+\sqrt{5363.93391216}}{2}}\) = \(\sqrt{73.6}\) = \(\mathtt{\text{8.58}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{0.599}}·\mathtt{\text{8.6}}}{2}\) = \(\mathtt{\text{2.58}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{8.6}}}{2}\) = \(\mathtt{\text{4.3}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{8.6}}}{2}\) = \(\mathtt{\text{4.3}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{\mathtt{\text{8.58}}+0.6-\mathtt{\text{8.6}}}{2}\) = \(\mathtt{\text{0.29}}\)

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P = \(a+b+c\) = \(\mathtt{\text{8.58}}+0.6+\mathtt{\text{8.6}}\) = \(\mathtt{\text{17.8}}\)