Расчет прямоугольного треугольника с катетом a=6,6 и углом α°=65

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 = \(\frac{a}{\sin{α°}}\) = \(\frac{6,6}{\sin{(65°})}\) = \(\mathtt{\text{6.62}}\)

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β° = \(90°-α°\) = \(90°-65°\) = \(\mathtt{\text{25}}°\)

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h = \(a·\cos{α°}\) = \(6,6·\cos{(65°)}\) = \(\mathtt{\text{2.54}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{6.62}}^2-6,6^2}\) = \(\sqrt{43.8244-36}\) = \(\sqrt{7.8244}\) = \(\mathtt{\text{2.8}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{2.54}}·\frac{\mathtt{\text{6.62}}}{6,6}\) = \(\mathtt{\text{2.8}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{6.62}}·\cos{(65°)}\) = \(\mathtt{\text{2.8}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{6.62}}·\sin{(25°)}\) = \(\mathtt{\text{2.8}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{2.54}}}{sin{(65°)}}\) = \(\mathtt{\text{2.8}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{2.54}}}{sin{(25°)}}\) = \(\mathtt{\text{2.8}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{6.62}}^2 - \sqrt{\mathtt{\text{6.62}}^4-4·\mathtt{\text{6.62}}^2·\mathtt{\text{2.54}}^2}}{2}}\) = \(\sqrt{\frac{43.8244-\sqrt{789.6280392}}{2}}\) = \(\sqrt{7.86}\) = \(\mathtt{\text{2.8}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{2.54}}·\mathtt{\text{6.62}}}{2}\) = \(\mathtt{\text{8.41}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{6.62}}}{2}\) = \(\mathtt{\text{3.31}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{6.62}}}{2}\) = \(\mathtt{\text{3.31}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{6,6+\mathtt{\text{2.8}}-\mathtt{\text{6.62}}}{2}\) = \(\mathtt{\text{1.09}}\)

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P = \(a+b+c\) = \(6,6+\mathtt{\text{2.8}}+\mathtt{\text{6.62}}\) = \(\mathtt{\text{15.4}}\)