Расчет прямоугольного треугольника с катетом a=7.5 и углом α°=15

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 = \(\frac{a}{\sin{α°}}\) = \(\frac{7.5}{\sin{(15°})}\) = \(\mathtt{\text{29}}\)

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β° = \(90°-α°\) = \(90°-15°\) = \(\mathtt{\text{75}}°\)

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h = \(a·\cos{α°}\) = \(7.5·\cos{(15°)}\) = \(\mathtt{\text{7.24}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{29}}^2-7.5^2}\) = \(\sqrt{841-56.25}\) = \(\sqrt{784.75}\) = \(\mathtt{\text{28}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{7.24}}·\frac{\mathtt{\text{29}}}{7.5}\) = \(\mathtt{\text{28}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{29}}·\cos{(15°)}\) = \(\mathtt{\text{28}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{29}}·\sin{(75°)}\) = \(\mathtt{\text{28}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{7.24}}}{sin{(15°)}}\) = \(\mathtt{\text{28}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{7.24}}}{sin{(75°)}}\) = \(\mathtt{\text{28}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{29}}^2 - \sqrt{\mathtt{\text{29}}^4-4·\mathtt{\text{29}}^2·\mathtt{\text{7.24}}^2}}{2}}\) = \(\sqrt{\frac{841-\sqrt{530948.1936}}{2}}\) = \(\sqrt{56.2}\) = \(\mathtt{\text{7.49}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{7.24}}·\mathtt{\text{29}}}{2}\) = \(\mathtt{\text{105}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{29}}}{2}\) = \(\mathtt{\text{14.5}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{29}}}{2}\) = \(\mathtt{\text{14.5}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{7.5+\mathtt{\text{28}}-\mathtt{\text{29}}}{2}\) = \(\mathtt{\text{3.25}}\)

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P = \(a+b+c\) = \(7.5+\mathtt{\text{28}}+\mathtt{\text{29}}\) = \(\mathtt{\text{64.5}}\)