Question

) In the given figure, AP = 3 cm, AR = 4.5 cm, AQ = 6 cm, AB = 5 cm and AC = 10 cm, then find AD and ratio of areas of ARQ and ADC.​

Answer 1

Answer:

ΔAPQ is similar to ΔABC

Step-by-step explanation:

(AAA postulate)

(∵)

AB

-----

AP

=

AC

------

AQ

As AD is line from common vertex,

ΔAPR∼ΔABD

AB

-----

AP

= AD

---------

AR

∴AD=

AB×AR

----------

AP

= 5×4.5

------------

3

Ans = 7.5CM