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Syllabus

1) ABCD is a paralellogram. X and Y are mid points of BC and CD respectively.Prove that area (AXY) = 3/8 area(paralellogram ABCD)

2) In a triangle ABC P and Q are respectively the mid points of AB and BC and R is the mid point of AP. Prove that:

1) area(PRQ) =1/2 area(ARC)

2) area(RQC) = 3/8 area(ABC)

3) area(PBQ) = area(ARC)

ABCD is a trapezium in which AB is parallel to DC. DC=30 cm. and AB=50cm. if X and Y are respectively the mid points of AD and BC, prove that (

Nine times the area of DCYX= seven times the area of XYBA.)Parallelogrom ABCD and rectangle ABEF have the same base AB and also have equal areas.Show that the perimeter of the parallelogram is greater than that of the rectangle.

if the medians of a triangle ABC intersect at G show that ar ( AGB ) = ar(AGC)=ar(BGC)=1/3 ar(ABC).

in a quadrilateral abcd , ad=9 cm, dc=17 cm, bc=8 cm find ab and the area of the quadrilateral?

prove that two triangles having the same base (or equal bases) and equal areas lie between the same parallels.

prove that median divides triangle into two equal parts

The median BE and CF of a triangle ABC intersect at G. prove that area of triangle-GBC = area of quadrilateral AFGE.

WHAT IS AREA AXIOMS,CONGRUENT AREA AXIOMS,AREA MONOTONE AXIOM,AREA ADDITION AXIOM AND RECTANGLE AREA AXIOM

Diagonals AC and BD of trapezium ABCD with AB||DC intersect each other at O.

prove that ar(AOD) = ar (BOC)?

E is the midpoint of diagonal BD of Parallelogram ABCD.If the point E is joined to a point F on DA such that DF= 1/3 of DA ,then ratio of th area of triangle DFE to area of quadrilateral ABEF is

a) 1 : 3 b) 1 : 4 c) 1 : 5 d)2 : 5

prove that the diagonals of a parallelogram divides into four triangle of an equal area

ABCD is a parallelogram in which BC is produced to E such that CE = BC(Fig. 9.17). AE intersects CD at F.If ar (DFB) = 3 cm2, find the area of the parallelogram ABCD.

1-krishnasarp 2-parmanand 3-janmanth 4-bekhatke 5-bailghari

ABCD is a rectangle and EFGH is a trapezium in the given figure. Prove that ar(ABCD) = ar(EFGH)

in a triangle ABC,E is the midpoint of median AD. Show that area of BED = 1/4 area of ABC

if perimeter of a right angled triangle is six times its smallest side,then the three sides of this triangle are in the ratio of

The diagonals of a parallelogram ABCD intersect at point O. Through O, a line is drawn to intersect

AD at P and BC at Q. Show that PQ divides the parallelogram into two parts of equal areas.

P and Q are respectively the mid points of side AB and BC of a triangle ABC and R is the mid point of AP show that,

{1} ar(PQR)= 1/2 ar(ARC)

{2} ar (RQC)=3/8 ar(ABC)

3) ar (pBQ) = ar(ARC)

Prove that area of a rhombus is half the product of its diagonals.

THESEMI PERIMETER OF A TRIANGLE IS 96cm. ITS SIDES ARE IN THE RATIO OF3:4:5.FIND AREA OF THE TRIANGLE.Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that

[Hint: From A and C, draw perpendiculars to BD]

very very "common sensical" indeed.

D is mid point of side BC of a triangle ABC and E is mid point of BD.If O is mid point of AE , then prove that ar(BOE)=1/8ar(ABC)

ABCDis a quadrilateral.P and Q are the mid points of sides CD and AB respectivel. AP and DQ meet at X whereas Bp and CQ meet at Y. Prove that area of ADX+area of BCY=area of quadrilateral PXQY.

If E, F, G, H ar respectively the mid points of the sides of a parallelogram ABCD, show that ar(EFGH)= 1/2 ar(ABCD)

if ABCD is a rectangle inscribed in a quadrant of a circle of radius 10cm. if AD=2√5,find the area of the retangle.

prove that a cyclic trapezium is always isosceles trapezium.

Prove that the line segment joining the mid-points of opposites sides of a quadrilateral bisect each other.

Please help me with these sums

In a parallelogram PQRS, L and M are the mid-points of QR and RS respectively. Prove that :

ar(ΔPLM) = 3/8 ar( IIgm PQRS).

Please help. :)

q-3] The surface area of a sphere & a cube are equal. Prove that their volumes are in the ratio 1:v22/7/6.[paye=22/7].

q-4] The area of 3 adjacent faces of a cuboid are x,y,z.. if the volume is v , prove that [v]2=xyz.

q-5] Wall paper ,312cm long and 25cm wide is required to cover the wall of a room . length of the room is 7m and its breadth is twice its height. Determine the height of the room .

Parallelogram ABCD and rectangle ABEF are on the same base and have equal areas. Show the perimeter of parallelogram is greater than rectangle.

a) Circumcentre b) Incentre c) Excentre opposite to the vertex A d) Excentre opposite to the vertex

Please! Explain me clearly with diagram.

ABC and BDE are two equilateral triangles such that D is the midpoint of BC .AE intersects BC in F.prove that::

1. EXISTENCE POSTULATE

Corresponding to each polygon P lying in a plane, there exists a real number ar(P) $\ge $ 0, called its area.

2. DOMINANCE POSTULATE

For regions ${R}_{1}and{R}_{2}$ in a plane, if ${R}_{1}\subseteq {R}_{2}$, i.e., if ${R}_{1}$ is a part of ${R}_{2}$ then ar(${R}_{1}$) $\le $ ar(${R}_{2}$).

If O is the circumcentre of Triangle ABC and OD prependicular to BC. Prove that

Angle BOD = Angle AHow can we prove this as theorem:

Parallelogram with same base and having equal areas lie between the same parallel.

Please let me know the answer as fast as possible

prove that in a triangle the line segment joining the mid points of any to sides is parallel to the third side.

PQRS is a parallelogram and O is a point in the interior of the parallelogram. Show that

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way thatar ( AOD ) = ar ( BOC ). Prove that ABCD is a trapezium....!!I GuARAnTEeEE ThUMBS uP* FoR De CrrCt aNsaZz... ;)$ar\parallel gmABCD=ar\parallel gmPBQR$

(1) D and E are points on sides AB and AC respectively of triangle ABC such that ar (DBC) = ar (EBC). Prove that DE//BC

(2) Diagnols AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD) = ar (BOC). Prove that ABCD is a trapezium

(3) Diagnols AC and BD of a quadrilateral ABCD intersect each other at P. Show that ar (APB) x ar (CPD) = ar (APD) x ar (BPC)

CAN SOMEONE PLZZZZ GIVE THE ANSWERS TO THESE QUESTIONS .vryy imp...

ABCD is a parallelogram.P and Q on BC trisects it.Prove that ar(APQ) =ar(DPQ)=1/6ar(ABCD)

If each diagonal of a quadrilateral seperates it into two triangles of equal area, prove that the quadrilateral is a parallelogram.

P and Q are any two points lying on the side DC and AD respectively of a parallelogram ABCD.Show that ar(APB)=ar(BQC).....

sir,

can you explain the example no. 2

p is a point in the interior of a parallelogram

abcdshow thatarea apb +area pcd = 1/2 area abcd

area apd +area pbc =area apb+area pcd

Q.E.Din R.D.Sharma(book)?He use it after proving every theorem.

If the mid points of the sides of a quadrilateral are joined in order, prove that the are of the parallelogram so formed will be half of the area of the given quadrilateral. Please experts answer it as quickly as possible.

XY is a line parallel to side BC of a triangle ABC. If BEAC and CFAB meet at E and F repectively. Show that ar(ABE) = ar(ACF)

^{}ABCD is a llgm in which bc is produced to e such that ce=bc . ae intersects cd at f. If ar(dfb)=3cm^{}^{2 }find the area of ABCDD, E and F are respectively the mid-points of the sides BC, CA and AB of a ΔABC. Show that

(i) BDEF is a parallelogram.

(ii) ar (DEF) = ar (ABC)

(iii) ar (BDEF) = ar (ABC)

Answer :Triangle ABC and DBC are on the same base BC with vertices A and D on opposite sides of BC such that area of triangle ABC = area of triangle DBC. Show that BC bisects AD

Diagonals of a parallelogram are 8m and 6m respectively. If one side is 5m, then the area of Parallelogram is

a)18m

^{2}b)30m^{2}c)24m^{2}d)48m^{2}O is any point on the diagonal PR of a parallelogram PQRS . prove that ar(PSO) = ar(PQO) .

Thousand families with two children were selected randomly and the following data was recorded

No, Of Boys No of Families

0 140

1 560

2 300 Qn.. If a family choosen at random find the probability that it has (a) At least 1 boy

(b) At most 2 boys

ABCD is a quadrilateral. A line through D,parallel to AC meets BC produced in P. Prove that area of triangle APD= area of quadrilateral ABCD.

ABCD IS A PARALLELOGRAM, G IS THE POINT ON AB SUCH THAT AG = 2GB, E IS A POINT OF CD SUCH THAT CE = 2DE AND AND F IS A POINT OF BC SUCH THAT BF = 2FC. PROVE THAT

1) ar(ADEG) = ar(GBCE), 2) ar(EGB) = 1/6 ar(ABCD) , 3) ar(EFC) = 1/2 ar(EBF) , 4) ar(EBG) = ar(EFC) , 5) FIND WHAT PORTION OF THE ARE OF PARALLELOGRAM IS THE AREA OF EFG.

A triangle ABCis right angled at A. AL is drawn perpendicular to BC. Prove thatangle BAL =angle ACBABCD 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 :

1) ar (quad ADEG) = ar(quad GBCE)

2.) ar( triangle EBG) = 1/6 ar( quad ABCD)

3) ar( triangle EFC) = 1/2 AR(triangle EBF)

4 ) ar( triangle EBG )= ar( triangle EFC)

5 ) find what portion of the area of parallelogram is the area of triangle EFG.

"meritnation expert gursheen kaur has answered my question, but the method was incorrect.she supposed that G is the mid-point of AB and F is the midpoint of BC. but it's wrong method. please experts firstly read the question properly before answering it."

ABCDE is a pentagon.A line passing through B parallel to AC meets DC produced at F.Show that

ar(ACB)=ar(ACF)

ar(AEDF)=ar(ABCDE)

explain with figure

The semiperimeter of a triangle is 96 cm and its sides are in the ratio of 3:4:5. Find the area of the triangle.,

prove that parallelogram on the same base and between the same parallel are equal in area

prove that the qudrilateral formed by joining mid points of sides of qudrilateral is parallelogram

In triangle PQR, PS and RT are medians and SM is parallel to RT. Prove that QM= 1/4 PQ.

PROVE THAT AREA OF AN EQUILATERAL TRIANGLE = root3/4 a square WHERE a IS THE SIDE OF THE TRIANGLE.

The circumcentre of the triangle ABC is O. Prove that angle OBC+angle BAC=90 degree. Please answer fast!!!!!!

value of PA.

ABC and ABD are two Triangles on lthe same base AB. If line segment CD is bisected by AB at O, Show that ar(ABC) = ( ABD)

Abcd is a quadrilateral and BD is one of its diagonal as shown in following figure. show that ABCD is parallelogram and find its area

A point E is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F.

Prove that ar( ADF ) = ar (ABFC ).

In triangle ABC, AD is the median and DE || AB. Prove that BE is another median.

Please help! :O

Sorry, i couldn't post the figure.

ABCD is a trapezium with AB parallel to DC. a line parallel to AC intersects AB to X and BC to Y. prove that ar(ADX)=ar(ACY).

Q.PQRS and PABC are two parallelograms of equal area. Prove that QC parallel to BR.

The diagonals of quad. ABCD intersect at O .Prove that if BO = OD, then ar (triangle ABC) = ar (triangle ADC).

If a triangle and a parallelogram are on the same base and between the same parallels, then prove that area of the triangle is equal to half the area of the parallelogram.

rnMy teacher is saying that it is a theoram plz tell me by proving it...

PLS...........anyone help me in the first video................I DID NOT UNDERSTAND IT ??????,.....ar(BPQ)=1/2ar(ABC

the base of a triangular field is three times its altitude.if the cost of sowing the field at rs 58 per hectare is rs 783,find its base and height.

In the figure, LPEA is a parallelogram. point M,N and O , are taken on LP such that LM=MN=NO=OP and AL||BM||CN||DO||EP prove that ar(OPR)=ar(ABF).

ABCD is a parallelogram and BC is produced to point Q such that AD=CQ. If AQ intersects DC at P, show that ar(triangle BPC)=ar(triangle DPQ)