Расчет прямоугольного треугольника с катетом a=25 и углом α°=42

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

---

c = \(\frac{a}{\sin{α°}}\) = \(\frac{25}{\sin{(42°})}\) = \(\mathtt{\text{37.4}}\)

---

β° = \(90°-α°\) = \(90°-42°\) = \(\mathtt{\text{48}}°\)

---

h = \(a·\cos{α°}\) = \(25·\cos{(42°)}\) = \(\mathtt{\text{18.6}}\)

---

b = \(\sqrt{c^2 - a^2}\) = \(\sqrt{\mathtt{\text{37.4}}^2-25^2}\) = \(\sqrt{1398.76-625}\) = \(\sqrt{773.76}\) = \(\mathtt{\text{27.8}}\)b = \(h·\frac{c}{a}\) = \(\mathtt{\text{18.6}}·\frac{\mathtt{\text{37.4}}}{25}\) = \(\mathtt{\text{27.8}}\)b = \(c·\cos{α°}\) = \(\mathtt{\text{37.4}}·\cos{(42°)}\) = \(\mathtt{\text{27.8}}\)b = \(c·\sin{β°}\) = \(\mathtt{\text{37.4}}·\sin{(48°)}\) = \(\mathtt{\text{27.8}}\)b = \(\frac{h}{sin{α°}}\) = \(\frac{\mathtt{\text{18.6}}}{sin{(42°)}}\) = \(\mathtt{\text{27.8}}\)b = \(\frac{h}{sin{β°}}\) = \(\frac{\mathtt{\text{18.6}}}{sin{(48°)}}\) = \(\mathtt{\text{27.8}}\)b = \(\sqrt{\frac{c^2 - \sqrt{c^4-4·c^2·h^2}}{2}}\) = \(\sqrt{\frac{\mathtt{\text{37.4}}^2 - \sqrt{\mathtt{\text{37.4}}^4-4·\mathtt{\text{37.4}}^2·\mathtt{\text{18.6}}^2}}{2}}\) = \(\sqrt{\frac{1398.76-\sqrt{20869.4991999995}}{2}}\) = \(\sqrt{627.0}\) = \(\mathtt{\text{25}}\)

---

S = \(\frac{hc}{2}\) = \(\frac{\mathtt{\text{18.6}}·\mathtt{\text{37.4}}}{2}\) = \(\mathtt{\text{348}}\)

---

R = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{37.4}}}{2}\) = \(\mathtt{\text{18.7}}\)

---

mc = \(\frac{c}{2}\) = \(\frac{\mathtt{\text{37.4}}}{2}\) = \(\mathtt{\text{18.7}}\)

---

r = \(\frac{a+b-c}{2}\) = \(\frac{25+\mathtt{\text{27.8}}-\mathtt{\text{37.4}}}{2}\) = \(\mathtt{\text{7.7}}\)

---

P = \(a+b+c\) = \(25+\mathtt{\text{27.8}}+\mathtt{\text{37.4}}\) = \(\mathtt{\text{90.2}}\)