Question

In triangle ABC angle B= 90°and AD perpendicular to AC. If DC is 7 cm and AD is 3cm then find the length of BD.​

Answer 1

Answer:

∠ABC=90

o

,BD⊥AC,

BD=8 and AD=4 as in diagram.

Let ∠ACB=x

⇒∠CBD=90−x

⇒∠ABD=x

⇒∠BAD=90−x

⇒ΔABC,ΔADB and ΔBDC are similar

⇒

CD

BD

=

DB

AD

⇒

CD

8

=

8

4

⇒CD=

4

8×8

=16cm.