Question

Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

Answer 1

The complete question is

"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

The radius of the incircle centered at point P is ? units."

The radius of the incircle centered at point P is 7 units.

We are given that point P is the incenter of the triangle, and is the center point of the incircle of the triangle.

What is incircle?

The incircle is defined as the largest circle that can be made in a triangle and is tangent to each side of the triangle.

Here, The radius of the circle is going to be a perpendicular line from point P to any side of the triangle.

In the triangle ,

PZ = PY = PX,

Each measure of value is equal to the radius of the circle.

Therefore, we already know that PZ = 7 units making the radius, r = 7 units.

Learn more about  incircle;

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