Question
A,B, C are three points such that AB = 9 cm, BC = 11 cm
and AC = 20 cm. The number of circles passing through points A,B,C is:Solution
A, B, C three points. AB = 9 cm BC = 11 cm AC = 20 cm Property of formation of triangle is; Sum of any two sides must be greater than the 3rd side. i.e. a + b > c where a, b, c are three sides of the triangle. ∵ AB + BC = AC ∴ No triangle can be formed using the three sides given. ∴ No circle will pass through the points A, B, C.
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