Расчет прямоугольного треугольника с катетом a=2.45 и углом α°=19

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 = \(\frac{a}{\sin{α°}}\) = \(\frac{2.45}{\sin{(19°})}\) = \(\mathtt{\text{7.53}}\)

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β° = \(90°-α°\) = \(90°-19°\) = \(\mathtt{\text{71}}°\)

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h = \(a·\cos{α°}\) = \(2.45·\cos{(19°)}\) = \(\mathtt{\text{2.32}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{7.53}}^2-2.45^2}\) = \(\sqrt{56.7009-6.0025}\) = \(\sqrt{50.6984}\) = \(\mathtt{\text{7.12}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{2.32}}·\frac{\mathtt{\text{7.53}}}{2.45}\) = \(\mathtt{\text{7.13}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{7.53}}·\cos{(19°)}\) = \(\mathtt{\text{7.12}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{7.53}}·\sin{(71°)}\) = \(\mathtt{\text{7.12}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{2.32}}}{sin{(19°)}}\) = \(\mathtt{\text{7.13}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{2.32}}}{sin{(71°)}}\) = \(\mathtt{\text{7.13}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{7.53}}^2 - \sqrt{\mathtt{\text{7.53}}^4-4·\mathtt{\text{7.53}}^2·\mathtt{\text{2.32}}^2}}{2}}\) = \(\sqrt{\frac{56.7009-\sqrt{1994.24436417}}{2}}\) = \(\sqrt{6.02}\) = \(\mathtt{\text{2.45}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{2.32}}·\mathtt{\text{7.53}}}{2}\) = \(\mathtt{\text{8.73}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{7.53}}}{2}\) = \(\mathtt{\text{3.77}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{7.53}}}{2}\) = \(\mathtt{\text{3.77}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{2.45+\mathtt{\text{7.13}}-\mathtt{\text{7.53}}}{2}\) = \(\mathtt{\text{1.02}}\)

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P = \(a+b+c\) = \(2.45+\mathtt{\text{7.13}}+\mathtt{\text{7.53}}\) = \(\mathtt{\text{17.1}}\)