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Point I is the in-centre of triangle CEN.

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If CEN=60° and ECN=68°, then CNI is,

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Important Questions on Triangle

MEDIUM
The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0,0),(0,31), and (31,0), is
EASY
In ABCAB=7 cmBC=10 cm and AC=8 cm. If AD is the angle bisector of BAC, where D is the point on BC, then BD is equal to:
EASY
Find the length of the altitude of an equilateral triangle with side 6 cm. [Take 3=1.73]
EASY

In the given figure, ABC is an isosceles triangle, in which AB=AC, ADBC, BC=6cm and AD=4 cm. The length of AB is:

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EASY
In ΔABC, C=90° and D is a point on CB such that AD is the bisector of A. If AC=5 cm andBC=12cm , then what is the length of AD?
EASY
If ABC, B=72and C=44. Side BC is produced to D. The bisectors of B and ACD meet at E. What is the measure of BEC?
EASY

In ABC, A=58°. If I is the incentre of the triangle, then the measure of BIC is _____.

EASY
In a triangle ABCAB=16 cm, AC=12 cm and AD is the bisector of A. If BD=4 cm, then what is CD equal to?
HARD
Let D be an interior point of the side BC of a triangle ABC. Let I1 and I2 be the incentres of triangles ABD and ACD, respectively. Let AI1 and AI2 meet BC in E and F, respectively. If BI1E=60°, what is the measure of Cl2F in degrees?
MEDIUM
In ABC, A=40°, If the angle bisector of the B and C, meet at point O, then BOC is equal to_____. 
EASY
In ABC, B = 68ο and C = 32ο. Sides AB and AC are produced to points D and E respectively. The bisectors of DBC and BCE meet at F. What is the measure of BFC ?
MEDIUM

If AD is the bisector of A of a triangle ABC and DL is parallel to AB meeting AC at L and if AB=6 cm, BC=10 cm and AC=9 cm, then Area (ABD)Area (ACD) is:

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EASY
Identify the name of the triangle in which the circumcentre and incentre are at the same point.
EASY
In ΔABCA=50° and BC is produced to a point D . If the bisectors of ABC  and ACD  meet at E then E= ?
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Are angular bisectors of a triangle concurrent?

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The bisectors of ABC and BCA intersect each other at O. The measure of BOC is:
MEDIUM

In triangle ABCAD is the angle bisector of BAC. If AB=c, AC=b and BC=a, then the measure of the segment BD is equal to:

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CF is the angular bisector of ∠ACB in ∆ABC. Does the angular bisector bisect the base AB such that AF = BF?

EASY

The number of angular bisectors in a triangle is

MEDIUM

The bisector of B  in ABC meets AC at D. If AB = 10 cm, BC = 11 cm and AC = 14 cm, then the length of AD is _____.