Question

in triangle ABC angle ABC is 90degree , BD is perpendicular to AC . uf AD =4cm ,and CD =16cm find the lenght of BD​

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

Answer 2

Answer:

Step-by-step explanation:

Let BD = x

in, Δ ABD : $4^{2} + x^{2} = AB^{2}$.................1)

iN ΔBCD : $16^{2} +x^{2} = BC^{2}$ ...............2)

Since BD ⊥ AC, AB= BC (Sides opposite to equal angles.)

From .1) and 2)