If a circle is inscribed in a triangle which of the following must be true

If a circle is inscribed in a triangle which of the following must be true; Option A, C and E.
The incircle is defined as the largest circle that can be made in a triangle and is tangent to each side of the triangle.
Inscribing a circle in a triangle means that the circle touches the three sides of the triangle.
The center of the circle must be placed at the incenter of the triangle, we can find this point by bisecting two with a compas, the point where the lines intersect is the incenter.
Option A is true because a circle completely inside of a triangle could never reach the corner.
Option B is false because it is automatically determined to be smaller.
Option C is true because that is a property of inscribing circles.
Option D is false because circle is fit inside of the triangle.
Option E is true because if the circle is inscribed in the triangle, the triangle is circumscribed.
Therefore, If a circle is inscribed in a triangle which of the following must be true; Option A, C and E.
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