Question

The circle which touches all sides of a triangle is called as ____of the triangle

Answer 1

Answer:

Step-by-step explanation:

it is incircle which touches all the three sides

Answer 2

The circle which touches all sides of a triangle is called as incircle of the triangle.

$\rule{200}2$

Incircle is the circle which touches all sides of a triangle. It lies inside the triangle.

The point at which the circle touches the triangle is the point of tangent for the sides being tangent to the circle. The radius, hence is perpendicular to this point.

The radius of incircle is called as inradius and is given as

$\sf r = \frac{\Delta}{s}\\\\where, \Delta = area\ of\ triangle\\s = semi\ perimeter\ of\ triangle$