Three lines are drawn from the apex of a triangle to points on its base.

Explanation

1. 01

   From the top vertex there are 5 lines in all: the two sides and the 3 inner lines. Any 2 of them form a triangle with a horizontal line as the third side.

2. 02

   Pairs of lines from the vertex: $\binom{5}{2} = 10$.

3. 03

   Horizontal lines that can close them: 1 (the base).

4. 04

   Triangles $= 10 \times 1 = 10$.