Question

In ∆ABC, AB = 10, AC = 7, BC = 9. Then find the length of the median drawn from point C to Side AB

Answer 1

Answer:

In △ABC , point D is the midpoint of side AB

AD=BD=

2

1

AB=5

CA

2

+CB

2

=2DC

2

+2AD

2

(by Apollonius theorem)

⇒7

2

+9

2

=2DC

2

+2(5

2

)

⇒49+81=2DC

2

+2(25)

⇒130=2DC

2

+50

⇒2DC

2

=80

⇒DC

2

=40

⇒DC=2

10

Hence, the length of the median drawn from point D to side AB is 2

10

Answer 2

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Refer The Attachment...