Расчет прямоугольного треугольника с катетом a=5 и катетом b=5\sqrt{3}

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 = \(\sqrt{a^2 + b^2}\) = \(\sqrt{5^2 +5\sqrt{3}^2}\) = \(\sqrt{25+75}\) = \(\sqrt{100}\) = \(\mathtt{\text{10}}\)

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S = \(\frac{ab}{2}\) = \(\frac{5·5\sqrt{3}}{2}\) = \(\mathtt{\text{21.7}}\)

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α° = \(\arcsin{\frac{a}{c}}\) = \(\arcsin{\frac{5}{\mathtt{\text{10}}}}\) = \(\arcsin({0.5})\) = \(\mathtt{\text{30}}°\)

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β° =\(\arccos{\frac{a}{c}}\) = \(\arccos{\frac{5}{\mathtt{\text{10}}}}\) = \(\arccos({0.5})\) = \(\mathtt{\text{60}}°\)

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h = \(\frac{ab}{c}\) = \(\frac{5·5\sqrt{3}}{\mathtt{\text{10}}}\) = \(\mathtt{\text{4.33}}\)h = \(\frac{2S}{c}\) = \(\frac{2·\mathtt{\text{21.7}}}{\mathtt{\text{10}}}\) = \(\mathtt{\text{4.34}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{5+5\sqrt{3}-\mathtt{\text{10}}}{2}\) = \(\mathtt{\text{1.83}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{10}}}{2}\) = \(\mathtt{\text{5}}\)

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P = \(a+b+c\) = \(5+5\sqrt{3}+\mathtt{\text{10}}\) = \(\mathtt{\text{23.7}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{10}}}{2}\) = \(\mathtt{\text{5}}\)