Question

in the figure, ΔABO ~ΔDCO. If AB=6,CD=3,AO=4,Find DO.

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Answer 1

Step-by-step explanation:

Since ΔOAB∼ΔOCD

AB=8cm, BO=6.4cm OC=3.5cm, CD=5cm

Let OD=y and OA=x

CD

AB

=

OC

OA

=

DO

BO

5

8

=

3.5

x

=

DO

BO

3.5

x

=

5

8

⇒x=

5

8×3.5

=5.6

and

y

6.4

=

5

8

⇒y=

8

6.4×5

=4.0

OA=5.6cm and DO=4.0cm