Question

in triangle ABC angle A=45degree,B=45degree and CD is the perpendicular from C to AB.CD =14 cm.calculate the length of AB​

Answer 1

Answer:

Given

C

D

⊥

A

B

,

∠

C

D

A

=

90

∘

In

Δ

A

D

C

,

s

i

n

45

∘

=

C

D

A

C

1

√

2

=

C

D

A

C

A

C

=

√

2

C

D

...(i)

Now, area of

△

A

B

C

=

1

2

×

A

B

×

C

D

⇒

40

c

m

2

=

1

2

×

20

×

C

D

⇒

C

D

=

4

c

m

On substituting the value of CD in equation (i), we get

A

C

=

√

2

×

4

=

4

√

2

c

m