Расчет прямоугольного треугольника с катетом a=50 и углом α°=30

Калькулятор прямоугольного треугольника — это инструмент, который помогает вычислять различные параметры прямоугольного треугольника, такие как длина сторон, площадь, периметр,углы и высоты.

---

c = \(\frac{a}{\sin{α°}}\) = \(\frac{50}{\sin{(30°})}\) = \(\mathtt{\text{100}}\)

---

β° = \(90°-α°\) = \(90°-30°\) = \(\mathtt{\text{60}}°\)

---

h = \(a·\cos{α°}\) = \(50·\cos{(30°)}\) = \(\mathtt{\text{43.3}}\)

---

b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{100}}^2-50^2}\) = \(\sqrt{10000-2500}\) = \(\sqrt{7500}\) = \(\mathtt{\text{86.6}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{43.3}}·\frac{\mathtt{\text{100}}}{50}\) = \(\mathtt{\text{86.6}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{100}}·\cos{(30°)}\) = \(\mathtt{\text{86.6}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{100}}·\sin{(60°)}\) = \(\mathtt{\text{86.6}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{43.3}}}{sin{(30°)}}\) = \(\mathtt{\text{86.6}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{43.3}}}{sin{(60°)}}\) = \(\mathtt{\text{86.6}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{100}}^2 - \sqrt{\mathtt{\text{100}}^4-4·\mathtt{\text{100}}^2·\mathtt{\text{43.3}}^2}}{2}}\) = \(\sqrt{\frac{10000-\sqrt{25004400.0}}{2}}\) = \(\sqrt{2.5 \cdot 10^{3}}\) = \(\mathtt{\text{50}}\)

---

S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{43.3}}·\mathtt{\text{100}}}{2}\) = \(\mathtt{\text{2.16e+03}}\)

---

R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{100}}}{2}\) = \(\mathtt{\text{50}}\)

---

mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{100}}}{2}\) = \(\mathtt{\text{50}}\)

---

r = \(\frac{a+b-c}{2}\) = \(\frac{50+\mathtt{\text{86.6}}-\mathtt{\text{100}}}{2}\) = \(\mathtt{\text{18.3}}\)

---

P = \(a+b+c\) = \(50+\mathtt{\text{86.6}}+\mathtt{\text{100}}\) = \(\mathtt{\text{237}}\)