In the triangle ABC AB = BC = 5, AC = 6, a circle with center O is inscribed in it. Find the area of the triangle.
| February 15, 2021 | education
Let’s build the height of the ВН, which will also be the median of the triangle. Then AH = CH = AC / 2 = 6/2 = 3 cm.
In a right-angled triangle ABН, according to the Pythagorean theorem: BH ^ 2 = AB ^ 2 – AH ^ 2 = 25 – 9 = 16.
BH = 4 cm.
Then Savs = ВН * AC / 2 = 4 * 6/2 = 12 cm2.
Answer: The area of the triangle is 12 cm2.
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.
