Question

In ∆ABC, ∠B = 90° and BD ⊥ AC such that (A-D-C). If BD= 6cm,

AD = 9cm then DC =______cm.​

Answer 1

Answer:

CD measures 16 cm

Step-by-step explanation:

Given  ∠ABC = 90∘, BD is perpendicular to AC, BD=8,andAD=4, as shown in the diagram.

Let ∠ACB=x,⇒∠CBD=90−x

⇒∠ABD=x,⇒∠BAD=90−x

⇒ΔABC,ΔADB,andΔBDC are similar

⇒BDCD=ADDB

⇒8CD=48

⇒CD=8×84=16