Question

In the given figure ad bisects angle A if a b is equal to 18 centimetre ac is equal to 24 cm and BC equal to 28 CM the length of CD is

Answer 1

Answer:

16 cm

Step-by-step explanation:

Since the line segment AD bisects angle A meeting BC at D;

thus according to the line segment theorem:

Length of BD/Length of CD=Length of AB/Length of AC

=>Length of BD/Length of CD=18 cm/24 cm

=>Length of BD/Length of CD=3/4

Let the length of BD be 3 x, so the length of CD will be 4 x.

Thus, BC= BD + CD

=>28 cm=3 x +4 x=7 x

=>x=4 cm

Hence, the length of CD = 4 x cm =4*4 cm = 16 cm