Question

If A (2, -1), B (-1,3) and C (6,7) are the tops of ΔABC. Find the length of the median drawn from the top B.

Answer 1

As From B median is drawn To AC

So it will intersect at mid point of AC

Mid point of AC

A( 2,-1) C( 6,7)

is ( 2 + 6)/2 , ( -1 + 7)/2

= 8/2, 6/2

= 4,3

So distance between B (-1,3) and (4,3)

( As here y coordinate same So its simply ( 4-(-1) = 5

Or

√ ( 4 - ( -1))^2 + ( 3-3)^2

= √ 5^2.

= 5

Answer 2

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