Show that the area of a rhombus is half the product of the lengths of its diagonals. GIVEN : A rhombus `A B C D` whose diagonals `A C` and `B D` intersect at `Odot` TO PROVE : `a r(r hom b u sA B C D)=1/2(A CxB D)`

Show that the area of a rhombus is half the product of the lengths of its diagonals.GIVEN : A rhombus ABCD whose diagonals AC and BD intersect at O. TO PROVE : ar (rhombus ABCD)=(1)/(2)(ACxBD)

Show that the area of a rhombus is half the product of the lengths of its diagonals.Given: A rhombus ABCD whose diagonals.AC and BD intersect at O. To Prove: ar (rhombus ABCD)=(1)/(2)(ACxBD)

Show that the diagonals of a parallelogram divide it into four triangles of equal area. GIVEN : A parallelogram A B C D . The diagonals A C and B D intersect at Odot TO PROVE : a r( O A B)=a r( O B C)=a r( O C D)=a r( A O D)

The symbolic form of "area (A) of a rhombus is half of the product of its diagonals (d_(1),d_(2)) " is_______.

If the perimeter of a rhombus is 4p and length of its diagonals are a and b , then its area is :

The diagonals of quadrilateral A B C D ,A C and B D intersect in Odot Prove that if B O=O D , the triangles A B C and A D C are equal in area. GIVEN : A quadrilateral A B C E in which its diagonals A C and B D intersect at O such that B O = O Ddot TO PROVE : a r( A B C)=a r( A D C)

If the diagonals A C ,B D of a quadrilateral A B C D , intersect at O , and seqarate the quadrilateral into four triangles of equal area, show that quadrilateral A B C D is a parallelogram. GIVEN : A quadrilateral A B C D such that its diagonals A C and B D intersect at O and separate it into four parts such that a r( A O B)=a r( B O C)=a r( C O D)=a r( A O D) TO PROVE : Quadrilateral A B C D is a parallelogram.

If each diagonal of a quadrilateral separates it into two triangles of equal area then show that the quadrilateral is a parallelogram. GIVEN : A quadrilateral A B C D such that its diagonals A C and B D are such that a r( A B D)=a r( C D B ) and a r( A B C)=a r( A C D)dot TO PROVE: Quadrilateral A B C D is a parallelogram.

A diagonal of a parallelogram divides it into two triangles of equal area. GIVEN : A parallelogram A B C D in which B D is one of the diagonals. TO PROVE : ar ( A B D)=a r( C D B)