Question

In triangle ABC angel B=90degrees,BD perpendicular AC, If AD=8cm,BD=4cm then what is the length CD

Answer 1

Answer:

Given:

∠ABC=90∘

BD is perpendicular to AC, 

BD=8 and AD=4, according to the diagram.

Step by step explanation:

Let ∠ACB=x,⇒∠CBD=90−x

⇒∠ABD=x,⇒∠BAD=90−x

⇒ΔABC, ΔADB and ΔBDC are similar

⇒BD/CD=AD/DB

⇒8/CD=4/8

⇒CD=(8×8)/4

⇒CD=16

Conclusion:

The length of side CD is 16 cm.