Расчет прямоугольного треугольника с катетом a=7 и углом α°=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 = \(\frac{a}{\sin{α°}}\) = \(\frac{7}{\sin{(30°})}\) = \(\mathtt{\text{14}}\)

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

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h = \(a·\cos{α°}\) = \(7·\cos{(30°)}\) = \(\mathtt{\text{6.06}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{14}}^2-7^2}\) = \(\sqrt{196-49}\) = \(\sqrt{147}\) = \(\mathtt{\text{12.1}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{6.06}}·\frac{\mathtt{\text{14}}}{7}\) = \(\mathtt{\text{12.1}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{14}}·\cos{(30°)}\) = \(\mathtt{\text{12.1}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{14}}·\sin{(60°)}\) = \(\mathtt{\text{12.1}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{6.06}}}{sin{(30°)}}\) = \(\mathtt{\text{12.1}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{6.06}}}{sin{(60°)}}\) = \(\mathtt{\text{12.1}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{14}}^2 - \sqrt{\mathtt{\text{14}}^4-4·\mathtt{\text{14}}^2·\mathtt{\text{6.06}}^2}}{2}}\) = \(\sqrt{\frac{196-\sqrt{9624.6976}}{2}}\) = \(\sqrt{48.9}\) = \(\mathtt{\text{7}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{6.06}}·\mathtt{\text{14}}}{2}\) = \(\mathtt{\text{42.4}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{14}}}{2}\) = \(\mathtt{\text{7}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{14}}}{2}\) = \(\mathtt{\text{7}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{7+\mathtt{\text{12.1}}-\mathtt{\text{14}}}{2}\) = \(\mathtt{\text{2.55}}\)

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P = \(a+b+c\) = \(7+\mathtt{\text{12.1}}+\mathtt{\text{14}}\) = \(\mathtt{\text{33.1}}\)