Расчет прямоугольного треугольника с катетом a=150 и углом α°=50 и углом β°=40

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 = \(\frac{a}{\cos{β°}}\) = \(\frac{150}{\cos{(40°})}\) = \(\mathtt{\text{196}}\)c = \(\frac{a}{\sin{α°}}\) = \(\frac{150}{\sin{(50°})}\) = \(\mathtt{\text{196}}\)

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h = \(a·\cos{α°}\) = \(150·\cos{(50°)}\) = \(\mathtt{\text{96.4}}\)h = \(a·\sin{β°}\) = \(150·\sin{(40°)}\) = \(\mathtt{\text{96.4}}\)

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b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{196}}^2-150^2}\) = \(\sqrt{38416-22500}\) = \(\sqrt{15916}\) = \(\mathtt{\text{126}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{96.4}}·\frac{\mathtt{\text{196}}}{150}\) = \(\mathtt{\text{126}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{196}}·\cos{(50°)}\) = \(\mathtt{\text{126}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{196}}·\sin{(40°)}\) = \(\mathtt{\text{126}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{96.4}}}{sin{(50°)}}\) = \(\mathtt{\text{126}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{96.4}}}{sin{(40°)}}\) = \(\mathtt{\text{126}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{196}}^2 - \sqrt{\mathtt{\text{196}}^4-4·\mathtt{\text{196}}^2·\mathtt{\text{96.4}}^2}}{2}}\) = \(\sqrt{\frac{38416-\sqrt{47795650.5599999}}{2}}\) = \(\sqrt{1.58 \cdot 10^{4}}\) = \(\mathtt{\text{126}}\)

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S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{96.4}}·\mathtt{\text{196}}}{2}\) = \(\mathtt{\text{9.45e+03}}\)

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R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{196}}}{2}\) = \(\mathtt{\text{98}}\)

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mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{196}}}{2}\) = \(\mathtt{\text{98}}\)

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r = \(\frac{a+b-c}{2}\) = \(\frac{150+\mathtt{\text{126}}-\mathtt{\text{196}}}{2}\) = \(\mathtt{\text{40}}\)

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P = \(a+b+c\) = \(150+\mathtt{\text{126}}+\mathtt{\text{196}}\) = \(\mathtt{\text{472}}\)