Math, asked by tajamulmanzoor0520, 1 month ago

A
4 cm
D
8 cm
с
B
Fig. 7.137
C​

Answers

Answered by shubhamraj6y6
0

Answer:

A

4 cm

make me brainliest

Answered by weirdsoul777
2

Step-by-step explanation:

In the given figure,∠ ABC = 90 and B D ⊥ AC. If BD = 8 cm and AD = 4 cm, find CD.

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 [∵∠BDC=∠BDA=90

]

∠DBC=∠DAB [∵∠DBC=∠DAB=(90−x)

]

So by AA

△BDC∼△ADB

Hence

CD

BD

=

BD

AD

CD

8

=

8

4

CD=16

Hence CD=16cm

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