Расчет прямоугольного треугольника с катетом a=15 и углом α°=15

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 = \(\frac{a}{\sin{α°}}\) = \(\frac{15}{\sin{(15°})}\) = \(\mathtt{\text{58}}\)

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β° = \(90°-α°\) = \(90°-15°\) = \(\mathtt{\text{75}}°\)

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h = \(a·\cos{α°}\) = \(15·\cos{(15°)}\) = \(\mathtt{\text{14.5}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{58}}^2-15^2}\) = \(\sqrt{3364-225}\) = \(\sqrt{3139}\) = \(\mathtt{\text{56}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{14.5}}·\frac{\mathtt{\text{58}}}{15}\) = \(\mathtt{\text{56.1}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{58}}·\cos{(15°)}\) = \(\mathtt{\text{56}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{58}}·\sin{(75°)}\) = \(\mathtt{\text{56}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{14.5}}}{sin{(15°)}}\) = \(\mathtt{\text{56}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{14.5}}}{sin{(75°)}}\) = \(\mathtt{\text{56}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{58}}^2 - \sqrt{\mathtt{\text{58}}^4-4·\mathtt{\text{58}}^2·\mathtt{\text{14.5}}^2}}{2}}\) = \(\sqrt{\frac{3364-\sqrt{8487372.0}}{2}}\) = \(\sqrt{225.0}\) = \(\mathtt{\text{15}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{14.5}}·\mathtt{\text{58}}}{2}\) = \(\mathtt{\text{420}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{58}}}{2}\) = \(\mathtt{\text{29}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{58}}}{2}\) = \(\mathtt{\text{29}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{15+\mathtt{\text{56.1}}-\mathtt{\text{58}}}{2}\) = \(\mathtt{\text{6.55}}\)

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P = \(a+b+c\) = \(15+\mathtt{\text{56.1}}+\mathtt{\text{58}}\) = \(\mathtt{\text{129}}\)