Question

What is the length of AB

Answer 1

AB ≈ 5.2

Explanation:

given ∠ CAD = ∠ BAD = Θ

then AD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is

`(BD)/(CD)` =
`(AB)/(AC)` ( substitute values )

`(4.1)/(4.3)` =
`(AB)/(5.5)` ( cross- multiply )

4.,3 AB = 4.1 × 5.5 = 22.55 ( divide both sides by 4.3 )

AB ≈ 5.2 ( to one decimal place )