Расчет прямоугольного треугольника с катетом a=4 и углом α°=12

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

---

c = \(\frac{a}{\sin{α°}}\) = \(\frac{4}{\sin{(12°})}\) = \(\mathtt{\text{19.2}}\)

---

β° = \(90°-α°\) = \(90°-12°\) = \(\mathtt{\text{78}}°\)

---

h = \(a·\cos{α°}\) = \(4·\cos{(12°)}\) = \(\mathtt{\text{3.91}}\)

---

b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{19.2}}^2-4^2}\) = \(\sqrt{368.64-16}\) = \(\sqrt{352.64}\) = \(\mathtt{\text{18.8}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{3.91}}·\frac{\mathtt{\text{19.2}}}{4}\) = \(\mathtt{\text{18.8}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{19.2}}·\cos{(12°)}\) = \(\mathtt{\text{18.8}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{19.2}}·\sin{(78°)}\) = \(\mathtt{\text{18.8}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{3.91}}}{sin{(12°)}}\) = \(\mathtt{\text{18.8}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{3.91}}}{sin{(78°)}}\) = \(\mathtt{\text{18.8}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{19.2}}^2 - \sqrt{\mathtt{\text{19.2}}^4-4·\mathtt{\text{19.2}}^2·\mathtt{\text{3.91}}^2}}{2}}\) = \(\sqrt{\frac{368.64-\sqrt{113352.228864}}{2}}\) = \(\sqrt{16.0}\) = \(\mathtt{\text{4}}\)

---

S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{3.91}}·\mathtt{\text{19.2}}}{2}\) = \(\mathtt{\text{37.5}}\)

---

R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{19.2}}}{2}\) = \(\mathtt{\text{9.6}}\)

---

mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{19.2}}}{2}\) = \(\mathtt{\text{9.6}}\)

---

r = \(\frac{a+b-c}{2}\) = \(\frac{4+\mathtt{\text{18.8}}-\mathtt{\text{19.2}}}{2}\) = \(\mathtt{\text{1.8}}\)

---

P = \(a+b+c\) = \(4+\mathtt{\text{18.8}}+\mathtt{\text{19.2}}\) = \(\mathtt{\text{42}}\)