Probability.

Hi kamalakarthi,

When calculating the area of a triangle, any side can be the "base", as long as the side is "flat on the ground." Once you choose your base, the "height" will be a line (the math term is an "altitude") that touches the highest point on the triangle AND is perpendicular with "the ground." Sometimes the height is inside the triangle and sometimes it's outside of the triangle.

In your example, segment CE is NOT the height (because it's not perpendicular with the ground). The height of this triangle is actually OUTSIDE of it. To help you determine the height, I'm going to give you a couple of clues….

1) Look at point C. The 3 angles around it will form the center of a circle, so those 3 angles sum to 360 degrees.
2) Both BCE and DCE are the SAME isosceles triangle
3) All the angles in the square are 90 degrees
4) Try drawing a line "out" from BC (to the right) and another line "down" from point E to the base

GMAT assassins aren't born, they're made,
Rich