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P is any point on base BC of `triangleABC` and D is the mid-point of the BC. DE is drawn parallel to PA to meet AC at E. If `ar(triangleABC)= 12 cm^2`, then find area of `triangleEPC`

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MODERN PUBLICATION-AREA OF PARALLELOGRAMS AND TRIANGLES-EXERCISE
  1. ABCD is a rhombus AC = 8 cm, and DB = 6 cm. Find the length of BC.

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  2. If ABC and BDE are two equilateral triangles such that D is the mid-po...

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  3. P is any point on base BC of triangleABC and D is the mid-point of the...

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  4. PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 c...

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  5. True/False Area of || gm= 1/2 basexx corresponding height.

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  6. True/False If the area of a || gm with one side 24 cm and correspond...

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  7. True/False If the diagonals of a rhombus are 14 cm and 18 cm, then i...

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  8. Parallelogram on equal bases and between the same parallels are equal ...

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  9. True/False Two parallelograms are on the same base and between the s...

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  10. ABCD is a parallelogram and X is the mid-point of AB. If ar (AXCD) = 2...

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  11. True/False If AD is the median of triangleABC and P is a point on AC...

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  12. True/False In a triangleABC,D,E,F are the mid-points of the sides BC...

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  13. True/False A,B,C,D are mid-points of sides of ||gm PQRS. If ar (PQRS...

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  14. ABCD s a trapezium in which AB||CD and AD=BC Show that: angleA=angleB

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  15. Fill in the Blanks: If R1 and R2 are two congruent regions, then are...

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  16. Fill in the Blanks: A diagonal of || gm divides it into two triangle...

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  17. Fill in the Blanks: Parallelogram on the base and the same paralle...

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  18. Fill in the Blanks: The area of || gm is equal to the product of any...

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  19. Fill in the Blanks: Ratio of areas of a triangle and a ||gm sharing ...

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  20. Fill in the Blanks: Area of triangle is the product of any of its s...

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