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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Parts of Similar Triangles

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Exercise 31 Page 589

Recall the Triangle Angle Bisector Theorem.

Chun is correct, see solution.

Practice makes perfect

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

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.

Now let's look at the given picture.

We can create a proportion according to the Triangle Angle Bisector Theorem. 5/8=15/x This proportion corresponds with Chun's answer, so she is correct in her reasoning. However, Traci's proportion is not correct.

Subchapter links

Exercises p.586-590