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Show that the area of a rhombus is hal...

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

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Given that the side length of a rhombus is the geometric mean of the length of its diagonals. The degree measure of the acute angle of the rhombus is (a) 15^0 (b) 30^0 (c) 45^0 (d) 60^0

Given that the side length of a rhombus is the geometric mean of the length of its diagonals. The degree measure of the acute angle of the rhombus is 15^0 (b) 30^0 (c) 45^0 (d) 60^0

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

Prove that the area of a rhombus is equal to half the rectangle contained by its diagonals. Given: A rhombus A B C D such that its diagonals A C\ a n d\ B D intersect at O . To Prove: a r\ (r hom b u s\ A B C D)=1/2 (area of the rectangle contained by its diagonals =1/2(A C\ times\ B D)

The diagonals of as parallelogram are given by veca=3hati-4hatj-hatk and vecb=2hati+3hatj-6hatk Show that the parallelogram is as rhombus and determine the length of its sides.

The length of a side of a square field is 4 m. What will be the altitude of the rhombus, if the area of the rhombus is equal to the square field and one of its diagonals is 2 m?

The length of a side of a square field is 4 m. What will be the altitude of the rhombus, if the area of the rhombus is equal to the square field and one of its diagonals is 2 m?

Show that the diagonals of a rhombus are perpendicular to each other

Show that the diagonals of a rhombus are perpendicular to each other

RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. If the diagonals A C ,\ B D of a quadrilateral A B C D , interse...

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  2. If each diagonals of a quadrilateral separates it into two triangle...

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  3. Show that the area of a rhombus is half the product of the lengths o...

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  4. The side AB of a parallelogram ABCD is produced to any point P. A line...

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  5. A villager Itwari has a plot of land of the shape of a quadrilatera...

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  6. A B C D is a trapezium with A B||D C . A line parallel to A C in...

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  7. Diagonals A C\ a n d\ B D of a quadrilateral A B C D intersect a...

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  8. In Figure, A P || B Q\ || C R. Prove that a r\ ( A Q C)=\ a r\ (P B R)

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  9. In Fig.9.29, a r\ (B D P)\ =\ a r\ (A R C)and a r\ (B D P)\ =\ a r\ (A...

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  10. Diagonals A C and B D of a quadrilateral A B C D intersect at O in suc...

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  11. In Figure, diagonals AC and BD of quadrilateral ABCD intersect at O ...

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  12. A point O inside a rectangle A B C D is joined to the vertices. Prov...

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  13. Show that the area of a rhombus is half the product of the lengths ...

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  14. A B C D is a parallelogram and O is any point in its interior. Prove t...

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  15. A quadrilateral A B C D is such that diagonal B D divides its area in ...

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  16. Parallelogram A B C D and rectangle A B E F have the same base A B and...

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  17. O is any point on the diagonal B D of the parallelogram A B C D. Prove...

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  18. Triangles A B C and DBC are on the same base B C with A, D on opposite...

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  19. D and E are points on sides AB and AC respectively of DeltaA B Csuch...

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  20. If the medians of a triangle A B C intersect at G , show that a r( tr...

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