CPM Homework Help : INT3 Problem 2-88

Sketch square $ABCD$ on your paper, then randomly choose a point on $\overline {AB}$ and label it $X$ . Draw $\overline { XC }$ and $\overline { XD }$ to form $ΔXCD$ . If a dart is thrown and lands inside the square, what is the probability that it has landed inside $ΔXCD$ ? Does it matter where you place $X$ on $\overline {AB}$ ?

Explore using the eTool below.
Click the link at right for the full version of the eTool: Int3 2-88 HW eTool

Hint:

How does the area of $ΔXCD$ compare to the area of the square? How do the base and height of the triangle
change as the position of $X$ changes?