The ABC triangle inscribes the circle. AC, respectively. Bn = 4cm, nc = 6cm, the perimeter of the triangle is 34cm, find the lengths of the segments of AM and AL.
Since the segments of tangents to the circle carried out from one point are equal, then
BM = BN = 4 cm, CN = C = 6 cm, AM = Al.
The perimeter of the ABS triangle will be equal to: Ravox = AB + BS + AC = AM + BM + BN + CN + AL + CL.
Let am and AL = x see
Then Ravox = X + BM + BN + CN + X + CL.
34 = 2 * x + 4 + 4 + 6 + 6.
2 * x = 34 – 20 = 14 cm.
X = 14/2 = 7 cm
AM = Al = 7 cm.
Answer: AM = Al = 7 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.