Problem: Through a point P inside the triangle ABC a line is drawn parallel to the base AB, dividing the triangle into two equal areas. If the altitude to AB has a length of 1, then the distance from P to AB is:
Answer Choices:
A. 1/2
B. 1/4
C. 2−2​
D. 22−2​​
E. 82+2​​
Solution:
Let x be the distance from P to AB. By similar triangles