Answer:
AB = 2.625
Step-by-step explanation:
BC is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides , that is
[tex]\frac{CA}{CD}[/tex] = [tex]\frac{AB}{BD}[/tex] , that ia
[tex]\frac{6}{10}[/tex] = [tex]\frac{AB}{7-AB}[/tex] ( cross- multiply )
10 AB = 6(7 - AB) ← distribute
10 AB = 42 - 6 AB ( add 6 AB to both sides )
16 AB = 42 ( divide both sides by 16 )
AB = 2.625
