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:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 0
Given that
AB = 9 cm BC = 11 cm AC = 20 cm
The property of the formation of a triangle is the 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, or C.