The vertices of a triangle are (5, 1), (11, 1) and (11, 9). Find the co-ordinates of the circumcentre of the triangle.
Distance Formula
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Question

The vertices of a triangle are (5, 1), (11, 1) and (11, 9). Find the co-ordinates of the circumcentre of the triangle.

KnowledgeBoat · Accepted Answer

Let the circumcentre of the triangle be P(x, y). The circumcentre is equidistant from all three vertices of the triangle. Distance between the given points = The distance from P to A is equal to the distance from P to B, so: The distance from P to A is equal to the distance from P to C, so: Putting the value of x = 8 in the above equation, Hence, the co-ordinates of the circumcentre of the triangle is (8, 5).

Mathematics

The vertices of a triangle are (5, 1), (11, 1) and (11, 9). Find the co-ordinates of the circumcentre of the triangle.

Distance Formula

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