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Important Results Related to Parallelograms

PQRS is a rho...

Question

PQRS is a rhombus in which altitude from S to side PQ bisects PQ , then prove that perimeter of PQRS is 4 times of QS.

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Q. Construct a rhombus

P Q R S

P Q = 7 cm

Q S = 5.5 cm

Q. Diagonals PR and QS of a rhombus PQRS are 20 cm and 48 cm respectively. Find the length of side PQ.

Q. The diagonals

P R

Q S

P Q R S

20 c m

48 c m

respectively. Find the length of side

P Q

Q. PQRS is a quadrilateral in which diagonals PR and QS intersect at O. Prove that PQ + QR + RS + SP < 2 (PR + QS).

Q. The diagonals of a quadrilateral PQRS bisect each other at right angles. If

P Q = 5.5 c m

, then the perimeter of PQRS is

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Important Results Related to Parallelograms

Standard VIII Mathematics

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