The perimeter of the isosceles triangle is 19.5 meters, and the lateral side is 7.6 meters. The bisector of the angle divides

The perimeter of the isosceles triangle is 19.5 meters, and the lateral side is 7.6 meters. The bisector of the angle divides the base of the triangle into segments of what length.

First, we find the length of the base of the triangle. Since the triangle is isosceles, it follows from this that its sides are equal, so to find the base, you need to subtract its sides from the perimeter:
19.5-7.6-7.6 = 4.3 m – base;
In an isosceles triangle, the bisector of the angle opposite the base is also the median, respectively, it divides the base into 2 equal segments:
4.3 / 2 = 2.15 m;
Answer: 2.15 m.