### Home > A2C > Chapter 6 > Lesson 6.2.1 > Problem6-63

6-63.

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 $\overline{AB}$?

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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