Question

See AD in a median of triangle ABC. If AB = 12, AD=10, AC=16 then find BC.

Answer 1

Answer:10

Step-by-step explanation:

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