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Byju's Answer
Standard VII
Mathematics
Classification of Triangles Based on Angles
There are fou...
Question
There are four points A,B,C,D on the plane, such that any three points are not collinear. Prove that in triangles ABC, ABD, ACD, BCD there is at least one triangle which has an interior angle not greater than 45 degree.
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Similar questions
Q.
In a plane there are
6
points such that no three points are collinear. How many triangles do these points determine?
Q.
There are n points in a plane, no three being collinear except m of them which are collinear. The number of triangles that can be drawn with their vertices at three of the given points is
Q.
A point D is taken on the side BC of a
△
A
B
C
such that BD = 2DC. Prove that ar
(
△
A
B
D
)
=
2
a
r
(
△
A
D
C
)
Q.
A
B
C
is an isosceles triangle in which
A
B
=
A
C
.
P
is any point in the interior of
Δ
A
B
C
such that
∠
A
B
P
=
∠
A
C
P
. Prove that
a)
B
P
=
C
P
b)
A
P
bisects
∠
B
A
C
Q.
In any triangle ABC prove that identities.
In a triangle prove that
cos
A
+
cos
B
+
cos
C
>
1
but not greater than
3
/
2
.
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Classification of Triangles Based on Angles
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