Question

The vertices of a triangle are A (3, –2), B (–2, 1) and C (5, 2). Then the length of the median through B is

(a) \(\sqrt{67}\) units 

(b) \(\sqrt{37}\) units 

(c) \(\sqrt{35}\) units 

(d) 6 units

Answer 1

(b)  \(\sqrt{37}\) units 

Let BD be the median through B. Then D is the mid-point of AC. Co-ordinate of D are

\(\bigg(\frac{5+3}{2},\frac{2+(-2)}{2}\bigg)\) , i.e., (4,0).

Now calculate BD.