Question

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

Answer 1

The value of x = 15.

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

`(AE)/(ED) =(AB)/(BC)`...........{Basic Proportionality Theorem}

Substituting the given values we get

`(9)/(6) =(x)/(10)\\\therefore x = 10* (9)/(6)\\\therefore x = (90)/(6)\\\therefore x = 15`

The value of x = 15.