Question
In a scalene triangle, the incenter lies ____.
- Inside
- Outside
- On the side of triangle
- On the vertex of triangle
The correct answer is: Inside
A scalene triangle is a triangle which has three unequal sides.
The incenter lies at the equal distances from the three line segments forming the sides of the triangle, and also from the three lines containing those segments.
So Always, Incenter lies inside the triangle.
Related Questions to study
If P is equidistant from all the sides of the triangle ABC, then a circle drawn with P as the center touching all the sides, then the center of the circle is also called ______.
For such questions, we should know about the different centers of the circle and triangle.
If P is equidistant from all the sides of the triangle ABC, then a circle drawn with P as the center touching all the sides, then the center of the circle is also called ______.
For such questions, we should know about the different centers of the circle and triangle.
From the given figure,
Find the relation between P and ∠NOM.
From the given figure,
Find the relation between P and ∠NOM.
From the given figure, if BD ⊥ AB, DC ⊥ AC, then find the relation between BD and DC.
From the given figure, if BD ⊥ AB, DC ⊥ AC, then find the relation between BD and DC.
Direction : Among given options only for this figure perpendicular bisector theorem is used.
If AD = 8 units, find BD.
the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle.
Direction : Among given options only for this figure perpendicular bisector theorem is used.
If AD = 8 units, find BD.
the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle.
Direction : Among given options only for this figure perpendicular bisector theorem is used.
If BD = 5 units, find AD.
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T
Direction : Among given options only for this figure perpendicular bisector theorem is used.
If BD = 5 units, find AD.
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T
Find length of perpendicular bisector of CB
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T
Find length of perpendicular bisector of CB
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T
Which of the following triangles have the same side lengths?
Which of the following triangles have the same side lengths?
,
and 
