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class 9
| math
| area of parallelograms and triangles
Solutions for all the questions from class 9
of subject math
of chapter area of parallelograms and triangles
CLASS
11
12
class 10
class 11
class 12
class 13
class 6
class 7
class 8
class 9
SUBJECT
math
CHAPTER
algebraic identities
analogy 37
analogy and classificatio
area of parallelograms and triangles
areas of parallelograms and triangle
areas of parallelograms and triangles
arithmeti
blood relation
circle
circles
View All ↓
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Class 9
Math
All topics
Area Of Parallelograms And Triangles
In
$ABC,D$
is the mid-point of
$AB,P$
is any point of
$BCC˙QPD$
meets
$AB$
in
$Q$
. Show that
$ar(BPQ)=21 ar(ABC)˙$
TO PROVE :
$ar(BPQ)=21 ar(ABC)$
CONSTRUCTION : Join CD.
Class 9
Math
All topics
Area Of Parallelograms And Triangles
$D$
is the mid-point of side
$BC$
of
$ABC$
and
$E$
is the mid-point of
$BD˙$
If
$O$
is the mid-point of
$AE$
, prove that
$ar(BOE)=81 ar(ABC)$
Class 9
Math
All topics
Area Of Parallelograms And Triangles
$ABCD$
is a parallelogram,
$G$
is the point on
$AB$
such that
$AG=2GB,E$
is a point of
$DC$
such that
$CE=2DE$
and
$F$
is the point of
$BC$
such that
$BF=2FC˙$
Prove that :
$ar(ADEG)=ar(GBCE)$
$ar(EGB)=61 ar(ABCD)$
Class 9
Math
All topics
Area Of Parallelograms And Triangles
The side
$AB$
of a parallelogram
$ABCD$
is produced to any point
$P˙$
A line through
$A$
parallel to
$CP$
meets
$CB$
produced in
$Q$
and the parallelogram
$PBQR$
completed. Show that
$ar(_{(gm)}ABCD)=ar(_{(gm)}BPRQ)˙$
CONSTRUCTION : Join
$AC$
and PQ. TO PROVE :
$ar(_{(gm)}ABCD)=ar(_{(gm)}BPRQ)$
Class 9
Math
All topics
Area Of Parallelograms And Triangles
A villager Itwari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of plot from one of the corners to construct a health centre. Itwari agrees to the above proposal with the condition that he should be given equal amount of land in lieu of his land adjoining his plot so as to form a triangular plt. Explain how his proposal will be implemented.
Class 9
Math
All topics
Area Of Parallelograms And Triangles
In Fig. 9.30, D and E are two points on BC such that
$BD =DE =EC$
. Show that
$ar (ABD) =ar (ADE) =ar (AEC)$
. Can you now answer the question that you have left in the Introduction of this chapter, whether the field of Budha has been actually divided into three parts of equal area ?
Class 9
Math
All topics
Area Of Parallelograms And Triangles
In parallelogram
$ABCD,AB=10cm˙$
The altitudes corresponding to the sides
$AB$
and
$AD$
are respectively
$7cm$
and
$8cm˙$
Find
$AD˙$
Class 9
Math
All topics
Area Of Parallelograms And Triangles
D, E, F are the mid points of side AB, BC, AC prove that BDEF is a parallelogram whose area is half that of
$Δ$
ABC
Class 9
Math
All topics
Area Of Parallelograms And Triangles
Prove that the area of an equilateral triangle is equal to
$43 a_{2},$
where
$a$
is the side of the triangle. GIVEN : An equilateral triangle
$ABC$
such that
$AB=BC=CA=a˙$
TO PROVE :
$ar(ABC)=43 a_{2}$
CONSTRUCTION : Draw
$AD⊥BC˙$
Class 9
Math
All topics
Area Of Parallelograms And Triangles
If the medians of a
$ABC$
intersect at
$G,$
show that
$ar(AGB)=ar(AGC=ar(BGC)=31 ar(ABC)˙$
GIVEN :
$ABC$
such that its medians
$AD,BE$
and
$CF$
intersect at
$G˙$
TO PROVE :
$ar(AGB)=ar(BGC)=ar(CGA)=31 AR(ABC)$
1
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class 9
| math
| area of parallelograms and triangles
Solutions for all the questions from class 9
of subject math
of chapter area of parallelograms and triangles
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
KNOW MORE
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
KNOW MORE
Filter Results
CLASS
11
12
class 10
class 11
class 12
class 13
class 6
class 7
class 8
class 9
SUBJECT
math
CHAPTER
algebraic identities
analogy 37
analogy and classificatio
area of parallelograms and triangles
areas of parallelograms and triangle
areas of parallelograms and triangles
arithmeti
blood relation
circle
circles
View All ↓
Class 9
Math
All topics
Area Of Parallelograms And Triangles
In
$ABC,D$
is the mid-point of
$AB,P$
is any point of
$BCC˙QPD$
meets
$AB$
in
$Q$
. Show that
$ar(BPQ)=21 ar(ABC)˙$
TO PROVE :
$ar(BPQ)=21 ar(ABC)$
CONSTRUCTION : Join CD.
Class 9
Math
All topics
Area Of Parallelograms And Triangles
$D$
is the mid-point of side
$BC$
of
$ABC$
and
$E$
is the mid-point of
$BD˙$
If
$O$
is the mid-point of
$AE$
, prove that
$ar(BOE)=81 ar(ABC)$
Class 9
Math
All topics
Area Of Parallelograms And Triangles
$ABCD$
is a parallelogram,
$G$
is the point on
$AB$
such that
$AG=2GB,E$
is a point of
$DC$
such that
$CE=2DE$
and
$F$
is the point of
$BC$
such that
$BF=2FC˙$
Prove that :
$ar(ADEG)=ar(GBCE)$
$ar(EGB)=61 ar(ABCD)$
Class 9
Math
All topics
Area Of Parallelograms And Triangles
The side
$AB$
of a parallelogram
$ABCD$
is produced to any point
$P˙$
A line through
$A$
parallel to
$CP$
meets
$CB$
produced in
$Q$
and the parallelogram
$PBQR$
completed. Show that
$ar(_{(gm)}ABCD)=ar(_{(gm)}BPRQ)˙$
CONSTRUCTION : Join
$AC$
and PQ. TO PROVE :
$ar(_{(gm)}ABCD)=ar(_{(gm)}BPRQ)$
Class 9
Math
All topics
Area Of Parallelograms And Triangles
A villager Itwari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of plot from one of the corners to construct a health centre. Itwari agrees to the above proposal with the condition that he should be given equal amount of land in lieu of his land adjoining his plot so as to form a triangular plt. Explain how his proposal will be implemented.
Class 9
Math
All topics
Area Of Parallelograms And Triangles
In Fig. 9.30, D and E are two points on BC such that
$BD =DE =EC$
. Show that
$ar (ABD) =ar (ADE) =ar (AEC)$
. Can you now answer the question that you have left in the Introduction of this chapter, whether the field of Budha has been actually divided into three parts of equal area ?
Class 9
Math
All topics
Area Of Parallelograms And Triangles
In parallelogram
$ABCD,AB=10cm˙$
The altitudes corresponding to the sides
$AB$
and
$AD$
are respectively
$7cm$
and
$8cm˙$
Find
$AD˙$
Class 9
Math
All topics
Area Of Parallelograms And Triangles
D, E, F are the mid points of side AB, BC, AC prove that BDEF is a parallelogram whose area is half that of
$Δ$
ABC
Class 9
Math
All topics
Area Of Parallelograms And Triangles
Prove that the area of an equilateral triangle is equal to
$43 a_{2},$
where
$a$
is the side of the triangle. GIVEN : An equilateral triangle
$ABC$
such that
$AB=BC=CA=a˙$
TO PROVE :
$ar(ABC)=43 a_{2}$
CONSTRUCTION : Draw
$AD⊥BC˙$
Class 9
Math
All topics
Area Of Parallelograms And Triangles
If the medians of a
$ABC$
intersect at
$G,$
show that
$ar(AGB)=ar(AGC=ar(BGC)=31 ar(ABC)˙$
GIVEN :
$ABC$
such that its medians
$AD,BE$
and
$CF$
intersect at
$G˙$
TO PROVE :
$ar(AGB)=ar(BGC)=ar(CGA)=31 AR(ABC)$
1
2
3
4
5
6
7
8
9
10
Previous
page
1 / 2
You're on page
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page
2
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