Расчет прямоугольного треугольника с гипотенузой c=3700 и углом α°=40 и углом β°=40 и высотой h=1200

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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a = \(c·\sin{α°}\) = \(3700·\sin{(40°)}\) = \(\mathtt{\text{2.38e+03}}\)a = \(c·\cos{β°}\) = \(3700·\cos{(40°)}\) = \(\mathtt{\text{2.83e+03}}\)a = \(\frac{h}{cos{α°}}\) = \(\frac{1200}{cos{(40°)}}\) = \(\mathtt{\text{1.57e+03}}\)a = \(\frac{h}{sin{β°}}\) = \(\frac{(1200)}{sin{(40°)}}\) = \(\mathtt{\text{1.87e+03}}\)a = \(\sqrt{\frac{c^2 + \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{3700^2 + \sqrt{3700^4-4·3700^2·1200^2}}{2}}\) = \(\sqrt{\frac{13690000+\sqrt{108561700000000}}{2}}\) = \(\sqrt{1.21 \cdot 10^{7}}\) = \(\mathtt{\text{3.47e+03}}\)

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b = \(c·\cos{α°}\) = \(3700·\cos{(40°)}\) = \(\mathtt{\text{2.83e+03}}\)b = \(c·\sin{β°}\) = \(3700·\sin{(40°)}\) = \(\mathtt{\text{2.38e+03}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{1200}{sin{(40°)}}\) = \(\mathtt{\text{1.87e+03}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{1200}{sin{(40°)}}\) = \(\mathtt{\text{1.57e+03}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{3700^2 - \sqrt{3700^4-4·3700^2·1200^2}}{2}}\) = \(\sqrt{\frac{13690000-\sqrt{108561700000000}}{2}}\) = \(\sqrt{1.64 \cdot 10^{6}}\) = \(\mathtt{\text{1.28e+03}}\)

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S = \(\frac{hc}{2}\) = \(\frac{1200·3700}{2}\) = \(\mathtt{\text{2.22e+06}}\)

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R = \(\frac{c}{2}\) = \(\frac{3700}{2}\) = \(\mathtt{\text{1.85e+03}}\)

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mc = \(\frac{c}{2}\) = \(\frac{3700}{2}\) = \(\mathtt{\text{1.85e+03}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{\mathtt{\text{2.38e+03}}+\mathtt{\text{2.83e+03}}-3700}{2}\) = \(\mathtt{\text{755}}\)

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P = \(a+b+c\) = \(\mathtt{\text{2.38e+03}}+\mathtt{\text{2.83e+03}}+3700\) = \(\mathtt{\text{8.91e+03}}\)