Question

When a circle is inscribed in a triangle each side of the triangle is perpendicular to the radius of the circle. True or false

Answer 1

True. When a circle is inscribed in a triangle, the circle is called the incircle, and it is tangent to each side of the triangle. At the point of tangency, the radius of the incircle is perpendicular to each side of the triangle. Therefore, it is true that each side of the triangle is perpendicular to the radius of the circle at the points of tangency.