Расчет прямоугольного треугольника с катетом b=1.35 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 = \(\frac{b}{\cos{α°}}\) = \(\frac{1.35}{\cos{(15°})}\) = \(\mathtt{\text{1.4}}\)

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

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h = \(b·\sin{α°}\) = \(1.35·\sin{(15°)}\) = \(\mathtt{\text{0.349}}\)

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a = \(\sqrt{c^2 - b^2}\) = \(\sqrt{\mathtt{\text{1.4}}^2 -1.35^2}\) = \(\sqrt{1.96-1.8225}\) = \(\sqrt{0.1375}\) = \(\mathtt{\text{0.371}}\)a = \(h·\frac{c}{b}\) =\(\mathtt{\text{0.349}}·\frac{\mathtt{\text{1.4}}}{1.35}\) = \(\mathtt{\text{0.362}}\)a = \(c·\sin{α°}\) = \(\mathtt{\text{1.4}}·\sin{(15°)}\) = \(\mathtt{\text{0.362}}\)a = \(c·\cos{β°}\) = \(\mathtt{\text{1.4}}·\cos{(75°)}\) = \(\mathtt{\text{0.362}}\)a = \(\frac{h}{cos{α°}}\) = \(\frac{\mathtt{\text{0.349}}}{cos{(15°)}}\) = \(\mathtt{\text{0.361}}\)a = \(\frac{h}{sin{β°}}\) = \(\frac{(\mathtt{\text{0.349}})}{sin{(\mathtt{\text{75}}°)}}\) = \(\mathtt{\text{0.361}}\)a = \(\sqrt{\frac{c^2 + \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{1.4}}^2 + \sqrt{\mathtt{\text{1.4}}^4-4·\mathtt{\text{1.4}}^2·0.349^2}}{2}}\) = \(\sqrt{\frac{1.96+\sqrt{2.88668016}}{2}}\) = \(\sqrt{1.83}\) = \(\mathtt{\text{1.35}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{0.349}}·\mathtt{\text{1.4}}}{2}\) = \(\mathtt{\text{0.244}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{1.4}}}{2}\) = \(\mathtt{\text{0.7}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{1.4}}}{2}\) = \(\mathtt{\text{0.7}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{\mathtt{\text{0.371}}+1.35-\mathtt{\text{1.4}}}{2}\) = \(\mathtt{\text{0.161}}\)

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P = \(a+b+c\) = \(\mathtt{\text{0.371}}+1.35+\mathtt{\text{1.4}}\) = \(\mathtt{\text{3.12}}\)