Question

True or false the in-center of a triangle is the point equidistant from each side of the triangle

Answer 1

True

Explanation:

In-Center of a triangle : It is that point which lie inside the triangle.

It is that point which is forming origin of a circle inscribed in a triangle.

It is the intersection point of angle bisector of three vertices of a triangle.

It is also center of a triangle.

We can see from the figure where I is in-center of triangle,the in-center is the point which is equidistant from each side of the triangle.

Hence, the statement is true.

Answer: True.

Answer 2

True.

Explanation:

Let's see the definition of in-center of a triangle.

The in-center of a triangle is a point located in the center of the triangle. It is equal distance from all sides of the triangle.

Therefore, it is True.

If we draw line segments from in-center to each vertex of the triangle, it will bisect the angles.

Herewith I have attached the figure for your reference.