Answer:
AB = 4.5 units
Step-by-step explanation:
Let the length of AB be x.
GIVEN :-
- BC = 3 units
- CD = 4 units
- ED = 6 units
- BD || AE
TO FIND :-
FACTS TO KNOW BEFORE SOLVING :-
Basic Proportionality Theorem :-
- If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points , the other two sides are divided in the same ratio.
PROCEDURE :-
According to Basic Proportionality Theorem ,
[tex]\frac{CB}{AB} = \frac{CD}{ED}[/tex]
[tex]=> \frac{3}{x} = \frac{4}{6}[/tex]
[tex]=> x = \frac{3 \times 6}{4} = \frac{18}{4} = 4.5[/tex]
∴ AB = 4.5 units
