Lesson 2, Topic 5
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Application of Coordinate Geometry

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Topic Content:

  • Application of Coordinate Geometry

The parts A(3, 4), B(4, 3) and C(8, 6) form a triangle ABC.

Give the coordinates of M, the midpoint of BC 

coordinate geometry

Solution

\( \left [ \frac{1}{2} \scriptsize (x_1 \; + \; x_2), \normalsize \frac{1}{2} \scriptsize (y_1 \; + \; y_2) \right ] \)

x1 = 4, y1 = -3

x2 = 8, y2 = 6

Coordinates of M,

M{ ½ (4 + 8), ½ (-3 + 6)}

M{ ½ (12), ½ (3)}

M{6, 1½}