In a triangle, the sides are 13.14.15 cm. Find the area and height drawn to the larger side.
| September 6, 2021 | education
Let’s calculate the semiperimeter of the triangle ABC.
ravs = (AB + BC + AC) / 2 = (14 + 13 + 15) / 2 = 21 m.
By Heron’s theorem, we determine the area of the triangle ABC.
Sav = √21 * (21 – 14) * (21 – 13) * (21 – 15) = √21 * 7 * 8 * 6 = √7056 = 84 cm2.
The area of the triangle ABC is also equal to: Sавс = АС * ВН / 2.
VN = 2 * Savs / AC = 2 * 84/15 = 168/15 = 11.2 cm.
Answer: The area of the triangle is 84 cm2, the height of the triangle is 11.2 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
