seg AD is a median of ∆ABC. If AB =12, AD=10, AC = 16 then find BC
Answers
Answered by
363
solution :
In ∆ABC ,
AB = 12 , AC = 16 ,
median ( AD ) = 10 ,
BC = ?
By , Appolonius Theorem ,
2( BC² + AD² ) = AB² + AC²
=> BC² + 10² = ( 12² + 16² )/2
=> BC² + 100 = ( 144 + 256 )/2
=> BC² + 100 = 400/2
=> BC² = 200 - 100
=> BC² = 100
=> BC = 10
•••••
In ∆ABC ,
AB = 12 , AC = 16 ,
median ( AD ) = 10 ,
BC = ?
By , Appolonius Theorem ,
2( BC² + AD² ) = AB² + AC²
=> BC² + 10² = ( 12² + 16² )/2
=> BC² + 100 = ( 144 + 256 )/2
=> BC² + 100 = 400/2
=> BC² = 200 - 100
=> BC² = 100
=> BC = 10
•••••
Answered by
37
please marke as brinalist.
I hope this answer is help you..
Attachments:
Similar questions