Question

In triangle ABC, angle ABC is 1 point
90 degree and BD is
perpendicular to AC. If AD = 8
cm, CD = 2 cm, then the
length of BD is: *
04 cm
O 8 cm
O 16 cm
0 10 cm​

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

The length of side CD is 16 cm.