In A B C ,D is the mid-point of A B ,P ...

In ` A B C ,D` is the mid-point of `A B ,P` is any point of `B CdotC Q P D` meets `A B` in `Q` . Show that `a r( B P Q)=1/2a r( A B C)dot`

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In A B C ,D is the mid-point of A B ,P is any point of B C, C Q || P D meets A B in Q . Show that a r( B P Q)=1/2a r( A B C)dot TO PROVE : a r( B P Q)=1/2a r( A B C) CONSTRUCTION : Join CD.

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ (triangle \ P R Q)=1/2a r\ (triangle \ A R C) .

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ ( triangle R Q C)=3/8\ a r\ (triangle \ A B C) .

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ ( triangle P B Q)=\ a r\ (triangle \ A R C)

In figure, P is the mid-point of B C , ,Q is the mid-point of A P , such that B Q produced meets A C at Rdot Prove that 3RA= CA

P is any point on base B C of A B C\ a n d\ D is the mid-point of B CdotD E is drawn parallel to P A to meet A C at Edot If a r\ ( A B C)=12 c m^2 , then find area of E P C

In Figure, A B C D is a parallelogram in which P is the mid-point of D C and Q is a point on A C such that C Q=1/4A Cdot If P Q produced meets B C at Rdot Prove that R is a mid-point of B Cdot

P ,Q and R are, respectively, the mid-points of sides B C ,C A and A B of a triangle A B C , P R and B Q meet at XdotC R and P Q meet at Y . Prove that X Y=1/4B Cdot

A B C is a triangle, P is a point on A B a n dQ is a point on A C such that /_A Q P=/_A B Cdot Complete the relation (A r e aof A P Q)/(A r e aof A B C)=dot(())/(A C^2) .

p\ A N D\ q are any two points lying on the sides D C\ a n d\ A D respectively of a parallelogram A B C Ddot\ Show that a r( A P B)=a r\ ( B Q C)dot

RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions

The side A B of a parallelogram A B C D is produced to any point Pdot ...
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Any point D is taken in the base B C of a triangle A B C\ a n d\ A...
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In A B C ,D is the mid-point of A B ,P is any point of B CdotC Q P D...
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In a parallelogram A B C D ,E ,F are any two points on the sides A B a...
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In Figure, A B C D is a trapezium in which A B||D C .\ \ D C is prod...
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Prove that the area of an equilateral triangle is equal to (sqrt(3))...
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In Figure, B C || X Y ,\ B X || C A and A B || Y C. Prove that: a r( A...
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In Figure, A B C D is a parallelogram. Prove that: a r( B C P)=a r( D ...
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A B C is a triangle in which D is the mid-point of BC and E is the mid...
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A B C D is a parallelogram X and Y are the mid-points of B C and C D r...
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The diagonals of a parallelogram A B C D intersect at a point O. T...
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The medians B E\ a n d\ C F of a triangle A B C intersect at G. ...
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In Figure, compute the area of quadrilateral A B C D.
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In Figure, P Q R S is a square and T\ a n d\ U are, respectively, ...
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Compute the area of trapezium P Q R S in the given figure.
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In Figure, /A O B=90^@,\ A C=B C ,\ O A=12\ c m\ a n d\ O C=6. 5 c m. ...
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In Figure, A B C D is a trapezium in which A B=7c m ,\ A D=B C=5c m ...
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In Figure, O C D E is a rectangle inscribed in a quadrant of a circl...
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In figure, A B C D is a trapezium in which A B||C D . Prove that: ...
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In Figure, A B C D ,\ A B F E\ a n d\ C D E F are parallelograms. Prov...
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