Question

Given: B bisects AD, C is the midpoint of BD, AD=12. What is the value of BC?

a) 6
b) 3
c) 9
d) 12

Answer 1

(b)

Step-by-step explanation:

given B bisects ( divides into 2 equal parts ) AD , then

AB = BD

given AD = 12 , then

BD =
`(1)/(2)` AD =
`(1)/(2)` × 12 = 6

Given C is the midpoint of BD , then

BC = CD , then

BC =
`(1)/(2)` BD =
`(1)/(2)` × 6 = 3

Answer 2

In the given figure, B bisects AD and C is the midpoint of BD. The length of AD is 12 units. The value of BC is 3 units.

Step-by-step explanation:

In the given figure, B bisects AD and C is the midpoint of BD. The length of AD is 12 units.

Since B is the midpoint of AD, AB will be half of AD. AB = AD/2 = 12/2 = 6 units.

Since C is the midpoint of BD, BC will also be half of BD. BC = BD/2.

But since B is the midpoint of AD, BD will also be half of AD. BD = AD/2 = 12/2 = 6 units.

Therefore, BC = BD/2 = 6/2 = 3 units.

Hence, the value of BC is 3 units.