Question

A(4,3),B(3,4),C(-3,-4) are vertices of a triangle. The length of median through A on BC is.......................units.​

Answer 1

Answer:

5 units

Step-by-step explanation:

Median through A means it divides BC in two equal halves. Say that the point where median intersects BC be D.

Since D is the mid point of BC, we can apply mid point formula,

=>coordinates of D = ((3+(-3))/2 , (4+(-4))/2)

= (0, 0)

Using distance formula :

=> distance between A and D is

=> √((4 - 0)² + (3 - 0)²)

=> √(4² + 3²)

=> √(16 + 9)

=> 5