Расчет прямоугольного треугольника с катетом a=3.4 и углом α°=40

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

---

c = \(\frac{a}{\sin{α°}}\) = \(\frac{3.4}{\sin{(40°})}\) = \(\mathtt{\text{5.29}}\)

---

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

---

h = \(a·\cos{α°}\) = \(3.4·\cos{(40°)}\) = \(\mathtt{\text{2.6}}\)

---

b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{5.29}}^2-3.4^2}\) = \(\sqrt{27.9841-11.56}\) = \(\sqrt{16.4241}\) = \(\mathtt{\text{4.05}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{2.6}}·\frac{\mathtt{\text{5.29}}}{3.4}\) = \(\mathtt{\text{4.05}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{5.29}}·\cos{(40°)}\) = \(\mathtt{\text{4.05}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{5.29}}·\sin{(50°)}\) = \(\mathtt{\text{4.05}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{2.6}}}{sin{(40°)}}\) = \(\mathtt{\text{4.04}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{2.6}}}{sin{(50°)}}\) = \(\mathtt{\text{4.04}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{5.29}}^2 - \sqrt{\mathtt{\text{5.29}}^4-4·\mathtt{\text{5.29}}^2·\mathtt{\text{2.6}}^2}}{2}}\) = \(\sqrt{\frac{27.9841-\sqrt{26.4197888099999}}{2}}\) = \(\sqrt{11.4}\) = \(\mathtt{\text{3.38}}\)

---

S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{2.6}}·\mathtt{\text{5.29}}}{2}\) = \(\mathtt{\text{6.88}}\)

---

R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{5.29}}}{2}\) = \(\mathtt{\text{2.65}}\)

---

mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{5.29}}}{2}\) = \(\mathtt{\text{2.65}}\)

---

r = \(\frac{a+b-c}{2}\) = \(\frac{3.4+\mathtt{\text{4.05}}-\mathtt{\text{5.29}}}{2}\) = \(\mathtt{\text{1.08}}\)

---

P = \(a+b+c\) = \(3.4+\mathtt{\text{4.05}}+\mathtt{\text{5.29}}\) = \(\mathtt{\text{12.7}}\)