Question

Please help me determine the length in its simplest form

Answer 1

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 :-

• The length of AB.

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 ,

$\frac{CB}{AB} = \frac{CD}{ED}$

$=> \frac{3}{x} = \frac{4}{6}$

$=> x = \frac{3 \times 6}{4} = \frac{18}{4} = 4.5$

∴ AB = 4.5 units