Answer:
The value of x = 15.
Step-by-step explanation:
Given:
BE || CD
AE = 9
ED = 6
AB = x
BC = 10
To Find;
AB = x = ?
Solution:
BE || CD ......................{Given}
Basic Proportionality Theorem:
If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.
i.e
[tex]\frac{AE}{ED} =\frac{AB}{BC}[/tex]...........{Basic Proportionality Theorem}
Substituting the given values we get
[tex]\frac{9}{6} =\frac{x}{10}\\\therefore x = 10\times \frac{9}{6}\\\therefore x = \frac{90}{6}\\\therefore x = 15[/tex]
The value of x = 15.
