Question

Find CD.
Please Help Me

Answer 1

Answer:

3.17cm

Step-by-step explanation:

Triangle ACD is right angled

AC^2 = AD^2 + CD^2 (Pythogoras theorem)

CD^2=  36-AD^2

AD^2= 36- CD^2

Triangle ABD is right angled

AB^2 = AD^2 + BD^2

16^2= AD^2 + (12+CD)^2

256= 36-CD^2 + 144+ 24CD + CD^2

24CD + 144 + 36 = 256

24CD= 256-180

CD= 76/24= 3.166... OR 3.17cm