Question

in the triangle ABC ,B= 90and BD Ac If AB=6cm, BC=8 cm then the lingth of CD =​

Answer 1

"" ❤️ Answer ❤️ ""

Given:

∠BDC= 90

∘

∠ABC= 90

∘

Let

∠BCD=

x ∘

Using triangle sum property in △BDC

,

∠DBC=

90−

x ∘

Also

∠ABD=

x ∘

Using triangle sum property in △ADB,

∠BAD=

90−

x ∘

Now considering

△BDC

and △ADB

[∵

∠BDC=

∠BDA=

90

∘

]

∠BDC= ∠BDA

[∵

∠DBC=

∠DAB=

(90−

x)

∘

]

∠DBC= ∠DAB

So by AA

△BDC∼ △ADB

Hence

C D

B D

=

B D

A D

CD

8

=

8

4

CD= 16

Hence

CD=

16cm

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