Question

If the sides of a triangle are 5.6.10, then the length of the median of biggest side is​

Answer 1

Answer:

Apollonius theorem where a,b and c are the length of sides of a triangle 

The length of median Ma=212b2+2c2−a2

And Mb=212a2+2c2−b2

And Mc=212a2+2b2−c2

Given that a=5,b=6 and c=10

Then length of median of the longest side =M10=212(5)2+2(6)2−(10)2

=212×25+2×36−100=2150+72−100=