McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
5. Parts of Similar Triangles
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Exercise 29 Page 589

Craig, see solution.

Practice makes perfect
Let's begin with recalling the Triangle Angle Bisector Theorem.

An angle bisector in a triangle separates the opposite side into two segments that are proportional to the lengths of the other two sides. Since we are given that the distance between Trevor and Ricardo is an angle bisector, the distances from Ricardo to Craig and Eli are proportional to the distances from Trevor to Craig and Eli.

If Craig is closer to Trevor than Eli, then he will also be closer to Ricardo than Eli. This means that Craig will reach Ricardo first.