Suppose bk is an angle bisector of △abc. find ab if bc=5, and ak=2.625, and kc=4.375.

Applying the angle bisector theorem, given that BK is an angle bisector of triangle ABC, thus: AB = 3

Recall:

Thus, given that △ABC has an angle bisector, BK, as shown in the diagram attached below, where:

Therefore:

Therefore, applying the angle bisector theorem, given that BK is an angle bisector of triangle ABC, thus: AB = 3

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AB = 3

Step-by-step explanation:

given that BK is an angle bisector then the following ratios are equal

=

substitute relevant values into the equation and solve for AB

= ( cross- multiply )

4.375AB = 13.125 ( divide both sides by 4.375 )

AB = 3

step-by-step explanation:

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