Расчет прямоугольного треугольника с катетом a=10 и катетом b=50

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 = \(\sqrt{a^2 + b^2}\) = \(\sqrt{10^2 +50^2}\) = \(\sqrt{100+2500}\) = \(\sqrt{2600}\) = \(\mathtt{\text{51}}\)

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S = \(\frac{ab}{2}\) = \(\frac{10·50}{2}\) = \(\mathtt{\text{250}}\)

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α° = \(\arcsin{\frac{a}{c}}\) = \(\arcsin{\frac{10}{\mathtt{\text{51}}}}\) = \(\arcsin({0.2})\) = \(\mathtt{\text{11.3}}°\)

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β° =\(\arccos{\frac{a}{c}}\) = \(\arccos{\frac{10}{\mathtt{\text{51}}}}\) = \(\arccos({0.2})\) = \(\mathtt{\text{78.7}}°\)

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h = \(\frac{ab}{c}\) = \(\frac{10·50}{\mathtt{\text{51}}}\) = \(\mathtt{\text{9.8}}\)h = \(\frac{2S}{c}\) = \(\frac{2·\mathtt{\text{250}}}{\mathtt{\text{51}}}\) = \(\mathtt{\text{9.8}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{10+50-\mathtt{\text{51}}}{2}\) = \(\mathtt{\text{4.5}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{51}}}{2}\) = \(\mathtt{\text{25.5}}\)

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P = \(a+b+c\) = \(10+50+\mathtt{\text{51}}\) = \(\mathtt{\text{111}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{51}}}{2}\) = \(\mathtt{\text{25.5}}\)