Расчет прямоугольного треугольника с катетом a=0.5 и углом β°=7

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

---

c = \(\frac{a}{\cos{β°}}\) = \(\frac{0.5}{\cos{(7°})}\) = \(\mathtt{\text{0.504}}\)

---

α° = \(90°-β°\) = \(90°-7°\) = \(\mathtt{\text{83}}°\)

---

h = \(a·\sin{β°}\) = \(0.5·\sin{(7°)}\) = \(\mathtt{\text{0.0609}}\)

---

b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{0.504}}^2-0.5^2}\) = \(\sqrt{0.254016-0.25}\) = \(\sqrt{0.00401600000000002}\) = \(\mathtt{\text{0.0634}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{0.0609}}·\frac{\mathtt{\text{0.504}}}{0.5}\) = \(\mathtt{\text{0.0614}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{0.504}}·\cos{(83°)}\) = \(\mathtt{\text{0.0614}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{0.504}}·\sin{(7°)}\) = \(\mathtt{\text{0.0614}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{0.0609}}}{sin{(83°)}}\) = \(\mathtt{\text{0.0614}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{0.0609}}}{sin{(7°)}}\) = \(\mathtt{\text{0.0614}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{0.504}}^2 - \sqrt{\mathtt{\text{0.504}}^4-4·\mathtt{\text{0.504}}^2·\mathtt{\text{0.0609}}^2}}{2}}\) = \(\sqrt{\frac{0.254016-\sqrt{0.06075573993216}}{2}}\) = \(\sqrt{0.00376}\) = \(\mathtt{\text{0.0614}}\)

---

S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{0.0609}}·\mathtt{\text{0.504}}}{2}\) = \(\mathtt{\text{0.0153}}\)

---

R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{0.504}}}{2}\) = \(\mathtt{\text{0.252}}\)

---

mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{0.504}}}{2}\) = \(\mathtt{\text{0.252}}\)

---

r = \(\frac{a+b-c}{2}\) = \(\frac{0.5+\mathtt{\text{0.0614}}-\mathtt{\text{0.504}}}{2}\) = \(\mathtt{\text{0.0287}}\)

---

P = \(a+b+c\) = \(0.5+\mathtt{\text{0.0614}}+\mathtt{\text{0.504}}\) = \(\mathtt{\text{1.07}}\)