Расчет прямоугольного треугольника с катетом a=5 и катетом b=12

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 = \(\sqrt{a^2 + b^2}\) = \(\sqrt{5^2 +12^2}\) = \(\sqrt{25+144}\) = \(\sqrt{169}\) = \(\mathtt{\text{13}}\)

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S = \(\frac{ab}{2}\) = \(\frac{5·12}{2}\) = \(\mathtt{\text{30}}\)

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α° = \(\arcsin{\frac{a}{c}}\) = \(\arcsin{\frac{5}{\mathtt{\text{13}}}}\) = \(\arcsin({0.38})\) = \(\mathtt{\text{22.6}}°\)

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β° =\(\arccos{\frac{a}{c}}\) = \(\arccos{\frac{5}{\mathtt{\text{13}}}}\) = \(\arccos({0.38})\) = \(\mathtt{\text{67.4}}°\)

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h = \(\frac{ab}{c}\) = \(\frac{5·12}{\mathtt{\text{13}}}\) = \(\mathtt{\text{4.62}}\)h = \(\frac{2S}{c}\) = \(\frac{2·\mathtt{\text{30}}}{\mathtt{\text{13}}}\) = \(\mathtt{\text{4.62}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{5+12-\mathtt{\text{13}}}{2}\) = \(\mathtt{\text{2}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{13}}}{2}\) = \(\mathtt{\text{6.5}}\)

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P = \(a+b+c\) = \(5+12+\mathtt{\text{13}}\) = \(\mathtt{\text{30}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{13}}}{2}\) = \(\mathtt{\text{6.5}}\)