Question

What is the length of BD?

Answer 1

Answer:

The length is  

B

D

=

36

c

m

Explanation:

Let the mid-point of  

B

C

be  

=

E

Let the mid-point of  

C

D

be  

=

F

Then,

A

G

=

2

3

A

E

and  

A

G

'

=

2

3

A

F

As  

G

and  

G

'

divide  

A

E

and  

A

F

in the same ratio

The lines  

G

G

'

and  

B

D

are parallel

We apply Thales' Theorem

G

G

'

=

2

3

E

F

E

F

=

3

2

⋅

12

=

18

c

m

B

D

=

2

⋅

E

F

=

2

⋅

18

=

36

c

m

Step-by-step explanation:

Answer 2

The answer to your question is 8
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