Расчет прямоугольного треугольника с катетом a=2.2 и углом α°=55

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 = \(\frac{a}{\sin{α°}}\) = \(\frac{2.2}{\sin{(55°})}\) = \(\mathtt{\text{2.69}}\)

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β° = \(90°-α°\) = \(90°-55°\) = \(\mathtt{\text{35}}°\)

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h = \(a·\cos{α°}\) = \(2.2·\cos{(55°)}\) = \(\mathtt{\text{1.26}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{2.69}}^2-2.2^2}\) = \(\sqrt{7.2361-4.84}\) = \(\sqrt{2.3961}\) = \(\mathtt{\text{1.55}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{1.26}}·\frac{\mathtt{\text{2.69}}}{2.2}\) = \(\mathtt{\text{1.54}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{2.69}}·\cos{(55°)}\) = \(\mathtt{\text{1.54}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{2.69}}·\sin{(35°)}\) = \(\mathtt{\text{1.54}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{1.26}}}{sin{(55°)}}\) = \(\mathtt{\text{1.54}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{1.26}}}{sin{(35°)}}\) = \(\mathtt{\text{1.54}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{2.69}}^2 - \sqrt{\mathtt{\text{2.69}}^4-4·\mathtt{\text{2.69}}^2·\mathtt{\text{1.26}}^2}}{2}}\) = \(\sqrt{\frac{7.2361-\sqrt{6.40901376999999}}{2}}\) = \(\sqrt{2.35}\) = \(\mathtt{\text{1.53}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{1.26}}·\mathtt{\text{2.69}}}{2}\) = \(\mathtt{\text{1.69}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{2.69}}}{2}\) = \(\mathtt{\text{1.34}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{2.69}}}{2}\) = \(\mathtt{\text{1.34}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{2.2+\mathtt{\text{1.54}}-\mathtt{\text{2.69}}}{2}\) = \(\mathtt{\text{0.525}}\)

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P = \(a+b+c\) = \(2.2+\mathtt{\text{1.54}}+\mathtt{\text{2.69}}\) = \(\mathtt{\text{6.43}}\)