Расчет прямоугольного треугольника с катетом a=1 и углом β°=10

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 = \(\frac{a}{\cos{β°}}\) = \(\frac{1}{\cos{(10°})}\) = \(\mathtt{\text{1.02}}\)

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α° = \(90°-β°\) = \(90°-10°\) = \(\mathtt{\text{80}}°\)

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h = \(a·\sin{β°}\) = \(1·\sin{(10°)}\) = \(\mathtt{\text{0.174}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{1.02}}^2-1^2}\) = \(\sqrt{1.0404-1}\) = \(\sqrt{0.0404}\) = \(\mathtt{\text{0.201}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{0.174}}·\frac{\mathtt{\text{1.02}}}{1}\) = \(\mathtt{\text{0.177}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{1.02}}·\cos{(80°)}\) = \(\mathtt{\text{0.177}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{1.02}}·\sin{(10°)}\) = \(\mathtt{\text{0.177}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{0.174}}}{sin{(80°)}}\) = \(\mathtt{\text{0.177}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{0.174}}}{sin{(10°)}}\) = \(\mathtt{\text{0.177}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{1.02}}^2 - \sqrt{\mathtt{\text{1.02}}^4-4·\mathtt{\text{1.02}}^2·\mathtt{\text{0.174}}^2}}{2}}\) = \(\sqrt{\frac{1.0404-\sqrt{0.9564355584}}{2}}\) = \(\sqrt{0.0312}\) = \(\mathtt{\text{0.177}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{0.174}}·\mathtt{\text{1.02}}}{2}\) = \(\mathtt{\text{0.0887}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{1.02}}}{2}\) = \(\mathtt{\text{0.51}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{1.02}}}{2}\) = \(\mathtt{\text{0.51}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{1+\mathtt{\text{0.177}}-\mathtt{\text{1.02}}}{2}\) = \(\mathtt{\text{0.0785}}\)

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P = \(a+b+c\) = \(1+\mathtt{\text{0.177}}+\mathtt{\text{1.02}}\) = \(\mathtt{\text{2.2}}\)