Question

true or false? in order to inscribe a circle in a triangle, the circle's center must be placed at the center of the triangle

Answer 1

True, since the edge of circle is tangent to the length of triangle.

Answer 2

Answer: False

Step-by-step explanation:

Inscribing a circle in a triangle means that the circle touches the 3 sides of the triangle.

The center of the circle must be placed at the incenter of the triangle, you can find this point by bisecting two with a compas, the point where the lines intersect is the incenter.

This point does not necesarly coincides with the center of the triangle, so the statement is false.