Расчет прямоугольного треугольника с катетом a=12.5 и углом β°=21

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 = \(\frac{a}{\cos{β°}}\) = \(\frac{12.5}{\cos{(21°})}\) = \(\mathtt{\text{13.4}}\)

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α° = \(90°-β°\) = \(90°-21°\) = \(\mathtt{\text{69}}°\)

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h = \(a·\sin{β°}\) = \(12.5·\sin{(21°)}\) = \(\mathtt{\text{4.48}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{13.4}}^2-12.5^2}\) = \(\sqrt{179.56-156.25}\) = \(\sqrt{23.31}\) = \(\mathtt{\text{4.83}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{4.48}}·\frac{\mathtt{\text{13.4}}}{12.5}\) = \(\mathtt{\text{4.8}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{13.4}}·\cos{(69°)}\) = \(\mathtt{\text{4.8}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{13.4}}·\sin{(21°)}\) = \(\mathtt{\text{4.8}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{4.48}}}{sin{(69°)}}\) = \(\mathtt{\text{4.8}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{4.48}}}{sin{(21°)}}\) = \(\mathtt{\text{4.8}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{13.4}}^2 - \sqrt{\mathtt{\text{13.4}}^4-4·\mathtt{\text{13.4}}^2·\mathtt{\text{4.48}}^2}}{2}}\) = \(\sqrt{\frac{179.56-\sqrt{17826.429504}}{2}}\) = \(\sqrt{23.0}\) = \(\mathtt{\text{4.8}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{4.48}}·\mathtt{\text{13.4}}}{2}\) = \(\mathtt{\text{30}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{13.4}}}{2}\) = \(\mathtt{\text{6.7}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{13.4}}}{2}\) = \(\mathtt{\text{6.7}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{12.5+\mathtt{\text{4.8}}-\mathtt{\text{13.4}}}{2}\) = \(\mathtt{\text{1.95}}\)

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P = \(a+b+c\) = \(12.5+\mathtt{\text{4.8}}+\mathtt{\text{13.4}}\) = \(\mathtt{\text{30.7}}\)