Question

in tringle abc ab=10 ac=7 bc=9 then find the length of the medium drawn from point c to side AB​

Answer 1

Step-by-step explanation:

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