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If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

Define the in...

Question

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

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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.

Incenter can be located at the intersection of angle bisectors of a triangle.

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Similar questions

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?

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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} =

Q. If in an isosceles right angled triangle the area of circumcircle is 16 times the area of incircle, also all points circumcenter, orthocenter, incenter, centroid lie in the 1st quadrant, orthocenter being at origin. Find the distance between circumcenter and incenter.

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?

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

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. Incenter can be located at the intersection of angle bisectors of a triangle.

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.

Incenter can be located at the intersection of angle bisectors of a triangle.