(a)

The desired intersection point is the mid point of the shortest side.

Find the mid point of the shortest side of the triangle.

Let the coordinates be $\"\"$ and $\"\"$ .

Formula for the mid point is $\"\"$ .

$\"\"$

Desired intersection point is $\"\"$ .

(b)

From (a) desired intersection point is $\"\"$ .

Opposite vertex of the triangle is $\"\"$ .

Length of a median is the distance between $\"\"$ and $\"\"$ .

$\"\"$ and $\"\"$ .

Formula for distance is $\"\"$

$\"\"$

$\"\"$ .

Length of a median $\"\"$ units.

(a) Desired intersection point is $\"\"$ .

(b) Length of a median $\"\"$ units.