Define the incircle of a triangle? How can you locate the incenter of a triangle?
[2 Marks]

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Solution

The circle which touches all the sides of a triangle is called incircle of the triangle and the centre of this circle is called the incentre of the triangle.
[1 Mark]

The incenter of an incircle is the point of intersection of the angle bisectors of all the three angles of the triangle.
[1 Mark]

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Q. Define the incircle of a triangle? How can you locate the incenter of a triangle?

You have a triangle $△$ constructed and you have also located the incenter; now I decide to draw a circle from the incenter such that i cuts a 2cm chord on one side of the triangle. Will it cut 2cm chord on the other two sides of the triangle?

The incenter of a triangle is :

You have a triangle $△$ ABC constructed and you have also located the incenter O , now I decide to draw a circle with the center O such that it cuts a 2cm chord on one side of the triangle $△$ ABC. Will it cut 2cm chord on the other two sides of the triangle?

Q. In a triangle ABC,

I

be the incenter and

I_{1}, I_{2}

and

I_{3}

be the excenters. If R and r be the radius of circumcircle and incircle respectively, then

I I_{1} . I I_{2} . I I_{3} =

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Define the incircle of a triangle? How can you locate the incenter of a triangle? [2 Marks]

The circle which touches all the sides of a triangle is called incircle of the triangle and the centre of this circle is called the incentre of the triangle. [1 Mark] The incenter of an incircle is the point of intersection of the angle bisectors of all the three angles of the triangle. [1 Mark]

Define the incircle of a triangle? How can you locate the incenter of a triangle?
[2 Marks]

The circle which touches all the sides of a triangle is called incircle of the triangle and the centre of this circle is called the incentre of the triangle.
[1 Mark]

The incenter of an incircle is the point of intersection of the angle bisectors of all the three angles of the triangle.
[1 Mark]