Answer:
BD = 3.2.
CD = 2.4.
Step-by-step explanation:
By Pythagoras:
AB^2 = 3^2 + 4^2 = 25
AB = 5.
Triangles ADC and ACB are similar, so
AC / AB = AD / AC
3 / 5 = AD / 3
AD = 3*3/5
AD = 9/5 = 1.8
So BD = 5 - 1.8
= 3.2.
CD^2 = AC^2 - AD^2 (Pythagoras)
CD^2 = 3^2 - 1.8^2 = 5.76
CD = 2.4.
