Question

Where is the center of the largest circle that you could draw inside a given triangle? . A.the point of concurrency of the medians of the triangle. . B.the point of concurrency of the perpendicular bisectors of the sides of the triangle. . C.the point of concurrency of the angle bisectors of the triangle. . D.the point of concurrency of the altitudes of the triangle

Answer 1

The correct answer is:

C.the point of concurrency of the angle bisectors of the triangle

Explanation:

The largest circle that can be drawn inside a triangle is called an inscribed circle.  The center of this circle is called the incenter.

The incenter is formed by the intersection of the angle bisectors of all 3 angles in the triangle.

Answer 2

Answer: Option C.the point of concurrency of the angle bisectors of the triangle.

The largest circle that you could draw inside a triangle is the inscribed circle, and its center is the point of concurrency of the angle bisectors of the triangle, then the correct answer is:
Option C.the point of concurrency of the angle bisectors of the triangle.