CPM Homework Help : CCA2 Problem 5-122

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 landed inside $ΔXCD$ ? Does it matter where you place X on $\overline{AB}$ ?

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?

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