Explore: Triangle Angle-Bisector Theorem

Triangle Angle-Bisector Theorem
What do you notice about [math]\angle ABD[/math] and [math]\angle CBD[/math]?
What does this tell you about [math]\overline{BD}[/math]?
After filling in the table:
What do you notice about the ratios?
Answer the questions on the back of your paper, and check your answers below.
[img width=313,height=287]https://lh7-rt.googleusercontent.com/docsz/AD_4nXfXPaS8LzicUa9RJEOmmhxo-6EAeUQHmOJv7oD80FvvJMnY3CLKvkm-6uoRrxkhfFP1abSDJCGMw5wVU4QkQALSF7mniZ9QA4IB5IN4G99gD4BRmlzXM_xUF62WS_e3cEaP1_-n?key=v10xkR5mY66zRKy-4fIl_w[/img][br]Solve for x
[img width=345,height=160]https://lh7-rt.googleusercontent.com/docsz/AD_4nXeta91yq2-xi_Cia8fQipUTgpqw891yjG83T1bZ3uCBIhPv8Bu5V8-8tPsL0vfEGwW9phYp0F3ID2BjRZt2vWAvXM0QJOmKyrZfz3-XQJnLK_HrsjGWVWquR45Rvu90N_kfzcmvwQ?key=v10xkR5mY66zRKy-4fIl_w[/img][br]Solve for x
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– Henry Hill, Jason Wofsey

Information: Explore: Triangle Angle-Bisector Theorem