Problem 63 of 7
Use the angle bisector theorem to find a missing segment from AB=15, AC=20, BD=x, DC=12.
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set adjacent side ratio equal to divided side ratio.
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Angle bisector must divide the opposite side; use adjacent side ratio equal to divided side ratio.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Identify the adjacent sides to the bisected angle.
2. Identify the two opposite-side segments.
3. Set ratios equal and solve.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using side-splitter theorem unless a parallel segment is given.