Advertisements
Advertisements
प्रश्न
Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD.
Advertisements
उत्तर
Given, ABCD is a parallelogram OA = 3 cm and OD = 2 cm
We know that, diagonals of a parallelogram bisect each other.
∴ Diagonal AC = 2OA = 6 cm ...[∵ AO = OC]
And Diagonal BD = 2OD = 4 cm ...[∵ BO = OD]
Hence, the length of the diagonals AC and BD are 6 cm and 4 cm, respectively.
APPEARS IN
संबंधित प्रश्न
The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32º and ∠AOB = 70º, then ∠DBC is equal to ______.
Diagonals of a parallelogram are perpendicular to each other. Is this statement true? Give reason for your answer.
E and F are points on diagonal AC of a parallelogram ABCD such that AE = CF. Show that BFDE is a parallelogram.
Points P and Q have been taken on opposite sides AB and CD, respectively of a parallelogram ABCD such that AP = CQ (Figure). Show that AC and PQ bisect each other.
In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of ∠A meets DC in E. AE and BC produced meet at F. Find the length of CF.
ABCD is a rectangle in which diagonal BD bisects ∠B. Show that ABCD is a square.
If diagonals of a quadrilateral bisect each other, it must be a parallelogram.
The point of intersection of diagonals of a quadrilateral divides one diagonal in the ratio 1:2. Can it be a parallelogram? Why or why not?
Two sticks each of length 7 cm are crossing each other such that they bisect each other at right angles. What shape is formed by joining their end points? Give reason.
