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Prove that A (4,5), B (4,2), C(8,2) represents the vertices of a right angled triangle. Find the coordinate of the circumcentre. What is the radius of the circumcircle? |
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Answer» Distance between (4, 5) and (4, 2) = 5 – 2 = 3 Distance between (4, 2) and (8, 2) = 8 – 4 = 4 Distance between (4, 5) and (8, 2) = \(\sqrt{(4\,8)^2\,(5\,2)^2}\) = \(\sqrt{4^2\,3^2}\) = 5 3, 4, 5 are sides of a right angled triangle, since 32 + 42 = 52 The coordinates of circumcentre is (6 ,3, 5) Radius of circumcircle = 2.5 unit |
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