# M2_8_8_1_5

- Author:
- angela

## 8_1_5

Let be the line through A that is parallel to the sideline BC. Find points M and N so that is concurrent with the Cevian lines BM and CN. When the three lines are concurrent, how many of the points M and N lie on the triangle? There is no point L in this case, but it is possible to compute the other two factors in d. Calculate when the three lines are concurrent.

## Solution:

First, I constructed the line through A and parallel to sideline BC. Then, I found the points M and N so that line is concurrent with the Cevian lines BM ad CN. When the lines are concurrent, only one point (M) is on the triangle. The calculation for is on the GeoGebra construction. The value for is 1.36.