X, Y, and Z are three points on a plane with XY = 11 cm, YZ = 13 cm, and XZ = 24 cm. The number of circles that travel through points X, Y, and Z is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 0.
XY = 11 cm, YZ = 13 cm, XZ = 24 cm
XY + YZ = XZ
11 + 13 = 24
The sum of any two sides of a triangle is greater than the third side of the triangle.
Therefore, no triangle will be formed, so the number of circles passing through points X, Y, and Z will be 0.