Question

Constuct the incentre of all types of triangle, in which of the following it lies inside the triangle?

• A. Obtuse angled triangle
• B. Acute angled triangle
• C. Right angled triangle
• D. None of these

Answer 1

Answer: (A), (B), (C)

The correct options are
A Obtuse angled triangle
B Acute angled triangle
C Right angled triangle

Incenter is the center of incircle of a triangle

The point where the angular bisectors meet is called incenter of a triangle

For Obtuse angled triangle , acute angled triangle and right angled triangle. the angular bisectors meet inside the triangle

So the incenter lies inside the triangle for all three types of triangles

Therefore correct options are $A,B,C$