In a triangle, one of the sides is 29 cm, and the second is divided by the point of contact
| April 23, 2021 | education
In a triangle, one of the sides is 29 cm, and the second is divided by the point of contact of the circle inscribed in the triangle into segments of 24 and 1 cm, starting from the end of the first side. Find the perimeter of the triangle.
We mark the points of tangency of the circle with the sides of the triangle by points K, L, M.
Since the circle inscribed in the triangle divides the sides of the triangle into 3 pairs of equal segments, then CК = СL = 24 cm, MV = LВ = 1 cm, AK = AM.
Determine the size of the segment AK.
AK = AC – СK = 29 – 24 = 5 cm, then the AM length is also 5 cm.
Determine the lengths of all sides.
AC = 29 cm.
AB = 5 + 1 = 6 cm.
BC = 24 + 1 = 25 cm.
Ravs = 29 + 6 + 25 = 60 cm.
Answer: The perimeter of triangle ABC is 60 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.
