Расчет прямоугольного треугольника с катетом a=200 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.

---

c = \(\frac{a}{\cos{β°}}\) = \(\frac{200}{\cos{(40°})}\) = \(\mathtt{\text{261}}\)

---

α° = \(90°-β°\) = \(90°-40°\) = \(\mathtt{\text{50}}°\)

---

h = \(a·\sin{β°}\) = \(200·\sin{(40°)}\) = \(\mathtt{\text{129}}\)

---

b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{261}}^2-200^2}\) = \(\sqrt{68121-40000}\) = \(\sqrt{28121}\) = \(\mathtt{\text{168}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{129}}·\frac{\mathtt{\text{261}}}{200}\) = \(\mathtt{\text{168}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{261}}·\cos{(50°)}\) = \(\mathtt{\text{168}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{261}}·\sin{(40°)}\) = \(\mathtt{\text{168}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{129}}}{sin{(50°)}}\) = \(\mathtt{\text{168}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{129}}}{sin{(40°)}}\) = \(\mathtt{\text{168}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{261}}^2 - \sqrt{\mathtt{\text{261}}^4-4·\mathtt{\text{261}}^2·\mathtt{\text{129}}^2}}{2}}\) = \(\sqrt{\frac{68121-\sqrt{106064397}}{2}}\) = \(\sqrt{2.89 \cdot 10^{4}}\) = \(\mathtt{\text{170}}\)

---

S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{129}}·\mathtt{\text{261}}}{2}\) = \(\mathtt{\text{1.68e+04}}\)

---

R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{261}}}{2}\) = \(\mathtt{\text{130}}\)

---

mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{261}}}{2}\) = \(\mathtt{\text{130}}\)

---

r = \(\frac{a+b-c}{2}\) = \(\frac{200+\mathtt{\text{168}}-\mathtt{\text{261}}}{2}\) = \(\mathtt{\text{53.5}}\)

---

P = \(a+b+c\) = \(200+\mathtt{\text{168}}+\mathtt{\text{261}}\) = \(\mathtt{\text{629}}\)