Question

In ABC angle ABC=90,BD perpendicular tkAC, If BD=8 cm and AD=4 cm find CD​

Answer 1

Answer:

Given

∠

A

B

C

=

90

∘

,

B

D

is perpendicular to

A

C

,

B

D

=

8

,

and

A

D

=

4

, as shown in the diagram.

Let

∠

A

C

B

=

x

,

⇒

∠

C

B

D

=

90

−

x

⇒

∠

A

B

D

=

x

,

⇒

∠

B

A

D

=

90

−

x

⇒

Δ

A

B

C

,

Δ

A

D

B

,

and

Δ

B

D

C

are similar

⇒

B

D

C

D

=

A

D

D

B

⇒

8

C

D

=

4

8

⇒

C

D

=

8

×

8

4

=

16

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