Расчет прямоугольного треугольника с катетом a=4 и углом α°=25

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 = \(\frac{a}{\sin{α°}}\) = \(\frac{4}{\sin{(25°})}\) = \(\mathtt{\text{9.46}}\)

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β° = \(90°-α°\) = \(90°-25°\) = \(\mathtt{\text{65}}°\)

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h = \(a·\cos{α°}\) = \(4·\cos{(25°)}\) = \(\mathtt{\text{3.63}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{9.46}}^2-4^2}\) = \(\sqrt{89.4916-16}\) = \(\sqrt{73.4916}\) = \(\mathtt{\text{8.57}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{3.63}}·\frac{\mathtt{\text{9.46}}}{4}\) = \(\mathtt{\text{8.58}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{9.46}}·\cos{(25°)}\) = \(\mathtt{\text{8.57}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{9.46}}·\sin{(65°)}\) = \(\mathtt{\text{8.57}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{3.63}}}{sin{(25°)}}\) = \(\mathtt{\text{8.59}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{3.63}}}{sin{(65°)}}\) = \(\mathtt{\text{8.59}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{9.46}}^2 - \sqrt{\mathtt{\text{9.46}}^4-4·\mathtt{\text{9.46}}^2·\mathtt{\text{3.63}}^2}}{2}}\) = \(\sqrt{\frac{89.4916-\sqrt{3291.8590144}}{2}}\) = \(\sqrt{16.1}\) = \(\mathtt{\text{4.01}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{3.63}}·\mathtt{\text{9.46}}}{2}\) = \(\mathtt{\text{17.2}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{9.46}}}{2}\) = \(\mathtt{\text{4.73}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{9.46}}}{2}\) = \(\mathtt{\text{4.73}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{4+\mathtt{\text{8.58}}-\mathtt{\text{9.46}}}{2}\) = \(\mathtt{\text{1.56}}\)

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P = \(a+b+c\) = \(4+\mathtt{\text{8.58}}+\mathtt{\text{9.46}}\) = \(\mathtt{\text{22}}\)