# Solution: What is the locus of the third vertex of a triangle?

Two vertices of a triangle are (2, 4) and (-2, 3) and the area is 2 square units, the locus of the third vertex is? How to find the locus of the third vertex of a triangle given two vertices and the area?

#### Problem Statement: ECE Board April 1999

Two vertices of a triangle are (2, 4) and (-2, 3) and the area is 2 square units, what is the locus of the third vertex?

#### Problem Answer:

The locus of the third vertex of a triangle is x – 4y = -10.

Solution:

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