Question

Which of the following steps is needed to inscribe a circle in a triangle?

Find the incenter of the triangle
Find the circumcenter of the triangle
Find the orthocenter of the triangle
Find the centroid of the triangle

Answer 1

To inscribe a circle in a triangle, you need to find the incenter of the triangle. The incenter is the point where the angle bisectors of the triangle intersect. The circle that is inscribed in the triangle will be tangent to all three sides of the triangle, and the center of the circle will be at the incenter.

Answer 2

Find the incenter of the triangle

Explanation:

Step 1: We draw angle bisectors for 2 angles and mark their intersection.

Step 2: Next, we drop a perpendicular line from the incenter of the circle to one edge of the triangle.