In A ABC, AB = 10, AC = 7, BC = 9 then find the length of the median drawn
from point C to side AB
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In △ABC , point D is the midpoint of side AB
AD=BD= 1/2AB=5
CA² +CB² =2DC² +2AD² (by Apollonius theorem)
⇒7 ²+9² =2DC² +2(5²)
⇒49+81=2DC² +2(25)
⇒130=2DC² +50
⇒2DC²=80
⇒DC² =40
⇒DC=2 √10
Hence, the length of the median drawn from point D to side AB is 2 √10
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