Расчет прямоугольного треугольника с катетом a=3 и углом α°=45 и углом β°=45

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 = \(\frac{a}{\cos{β°}}\) = \(\frac{3}{\cos{(45°})}\) = \(3 \sqrt{2}\)c = \(\frac{a}{\sin{α°}}\) = \(\frac{3}{\sin{(45°})}\) = \(\mathtt{\text{4.24}}\)

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h = \(a·\cos{α°}\) = \(3·\cos{(45°)}\) = \(\mathtt{\text{2.12}}\)h = \(a·\sin{β°}\) = \(3·\sin{(45°)}\) = \(\frac{3 \sqrt{2}}{2}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{3 \sqrt{2}^2-3^2}\) = \(\sqrt{18-9}\) = \(\sqrt{9}\) = \(\mathtt{\text{3}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{2.12}}·\frac{3 \sqrt{2}}{3}\) = \(\mathtt{\text{3}}\)b = \(c·\cos{α°}\) = \(3 \sqrt{2}·\cos{(45°)}\) = \(\mathtt{\text{3}}\)b = \(c·\sin{β°}\) = \(3 \sqrt{2}·\sin{(45°)}\) = \(\mathtt{\text{3}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{2.12}}}{sin{(45°)}}\) = \(\mathtt{\text{3}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{2.12}}}{sin{(45°)}}\) = \(\mathtt{\text{3}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{3 \sqrt{2}^2 - \sqrt{3 \sqrt{2}^4-4·3 \sqrt{2}^2·\mathtt{\text{2.12}}^2}}{2}}\) = \(\sqrt{\frac{18-\sqrt{216.1344}}{2}}\) = \(\sqrt{1.65}\) = \(\mathtt{\text{2.95}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{2.12}}·3 \sqrt{2}}{2}\) = \(\mathtt{\text{4.5}}\)

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R = \(\frac{c}{2}\) = \(\frac{3 \sqrt{2}}{2}\) = \(\mathtt{\text{2.12}}\)

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mc = \(\frac{c}{2}\) = \(\frac{3 \sqrt{2}}{2}\) = \(\mathtt{\text{2.12}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{3+\mathtt{\text{3}}-3 \sqrt{2}}{2}\) = \(\mathtt{\text{0.879}}\)

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P = \(a+b+c\) = \(3+\mathtt{\text{3}}+3 \sqrt{2}\) = \(\mathtt{\text{10.2}}\)