Расчет прямоугольного треугольника с катетом a=1500 и углом β°=30

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 = \(\frac{a}{\cos{β°}}\) = \(\frac{1500}{\cos{(30°})}\) = \(1000 \sqrt{3}\)

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α° = \(90°-β°\) = \(90°-30°\) = \(\mathtt{\text{60}}°\)

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h = \(a·\sin{β°}\) = \(1500·\sin{(30°)}\) = \(\mathtt{\text{750}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{1000 \sqrt{3}^2-1500^2}\) = \(\sqrt{3000000-2250000}\) = \(\sqrt{750000}\) = \(\mathtt{\text{866}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{750}}·\frac{1000 \sqrt{3}}{1500}\) = \(\mathtt{\text{866}}\)b = \(c·\cos{α°}\) = \(1000 \sqrt{3}·\cos{(60°)}\) = \(\mathtt{\text{866}}\)b = \(c·\sin{β°}\) = \(1000 \sqrt{3}·\sin{(30°)}\) = \(\mathtt{\text{866}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{750}}}{sin{(60°)}}\) = \(\mathtt{\text{866}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{750}}}{sin{(30°)}}\) = \(\mathtt{\text{866}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{1000 \sqrt{3}^2 - \sqrt{1000 \sqrt{3}^4-4·1000 \sqrt{3}^2·\mathtt{\text{750}}^2}}{2}}\) = \(\sqrt{\frac{3000000-\sqrt{8993250000000}}{2}}\) = \(\sqrt{563.0}\) = \(\mathtt{\text{866}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{750}}·1000 \sqrt{3}}{2}\) = \(\mathtt{\text{6.5e+05}}\)

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R = \(\frac{c}{2}\) = \(\frac{1000 \sqrt{3}}{2}\) = \(\mathtt{\text{866}}\)

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mc = \(\frac{c}{2}\) = \(\frac{1000 \sqrt{3}}{2}\) = \(\mathtt{\text{866}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{1500+\mathtt{\text{866}}-1000 \sqrt{3}}{2}\) = \(\mathtt{\text{317}}\)

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P = \(a+b+c\) = \(1500+\mathtt{\text{866}}+1000 \sqrt{3}\) = \(\mathtt{\text{4.1e+03}}\)