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Class 9
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Maths
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Triangles
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Medium Questions
Triangles
Maths
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Med Qs
Hard Qs
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In the given figure,
$B<A$
and
$D>C$
, then:
A
$AD>BC$
B
$AD=BC$
C
$AD<BC$
D
$AD=2BC$
Medium
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>
If
$D$
and
$E$
are the mid-points of the sides
$AB$
and
$AC$
respectively of
$△ABC$
.
$DE$
is produced to
$F$
. To prove that
$CF$
is equal and parallel to
$DA$
, we need an additional information which is:
A
$△DAE$
=
$△EFC$
B
$AE=EF$
C
$DE=EF$
D
$△ADE=△ECF$
Medium
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>
M is a point on side BC of a triangle ABC such that AM is the bisector of
$∠BAC.$
Is it true to say that perimeter of the triangle is greater than 2 AM? If True enter 1, else if False enter 0.
Medium
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>
$AB$
and
$CD$
are the smallest and largest sides of a quadrilateral
$ABCD$
.
Out of
$∠B$
and
$∠D$
, decide which is greater.
A
$∠B$
will be greater.
B
$∠D$
will be greater.
C
Both the angles are equal.
D
Cannot be determined.
Medium
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>
In
$△ABC$
and
$△DEF$
,
$AB=FD$
and
$∠A=∠D.$
The two triangles will be congruent by
$SAS$
axiom, if:
A
$BC=EF$
B
$AC=DE$
C
$AC=EF$
D
$BC=DE$
Medium
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>
The construction of a triangle
$ABC$
, given that
$BC=$
$6$
cm,
$B=$
$45_{∘}$
is not possible when difference of
$AB$
and
$AC$
is equal to:
A
$6.9$
cm
B
$5.2$
cm
C
$5.0$
cm
D
$4.0$
cm
Medium
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>
Two sides of a triangle are of lengths
$4$
cm and
$1.5$
cm. The length of the third side of the triangle cannot be
A
$3.6$
cm
B
$4.1$
cm
C
$3.8$
cm
D
$5.8$
cm
Medium
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>
In
$ΔABC,∠A=100_{0},∠B=30_{0}$
and
$∠C=50_{0}$
then
A
$AB>AC$
B
$AB<AC$
C
$BC<AC$
D
none of these
Medium
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>
In
$ΔPQR$
,
$∠P=$
$70_{∘}$
and
$∠R=30_{∘}.$
Which side of this triangle is the longest?
A
$PR$
B
$QR$
C
$PQ$
D
All sides are equal.
Medium
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>
If in two triangles
$ΔABC$
and
$ΔPQR$
,
$AB=QR,BC=PR$
and
$CA=PQ,$
then :
A
$ΔABC≅ΔPQR$
B
$ΔCBA≅ΔPRQ$
C
$ΔBAC≅ΔRPQ$
D
$ΔPQR≅ΔBCA$
Medium
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>