Question

2. In AABC, ZB = 90°, BD 1 AC.
If AD = 8 cm and BD = 4 cm then what is length of CD.​

Answer 1

Answer:

Step-by-step explanation:

Given ∠ABC=90°,BD is perpendicular to AC, BD=8,and, AD=4,

Let ∠ACB=x,⇒∠CBD=90−x

⇒∠ABD=x,⇒∠BAD=90−x

⇒ΔABC,ΔADB,andΔBDC are similar

⇒BD/CD=AD/DB

⇒8/CD=4/8

⇒CD=8×8/4=16