### Home > INT3 > Chapter 2 > Lesson 2.2.3 > Problem2-88

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 $\overline {AB}$? 2-88 HW eTool (Desmos). Homework Help ✎

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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?