Question

In the figure BE||CD solve for x. Show work

Answer 1

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

$\frac{AE}{ED} =\frac{AB}{BC}$...........{Basic Proportionality Theorem}

Substituting the given values we get

$\frac{9}{6} =\frac{x}{10}\\\therefore x = 10\times \frac{9}{6}\\\therefore x = \frac{90}{6}\\\therefore x = 15$

The value of x = 15.