Advertisements
Advertisements
प्रश्न
In a parallelogram ABCD, its diagonals AC and BD intersect each other at point O.

If AC = 12 cm and BD = 9 cm ; find; lengths of OA and OD.
Advertisements
उत्तर
∵ When diagonals AC and BD intersect each other at point O,
then OA = OC = `1/2` AC
and OB = OD = `1/2` BD
∴ OA = `1/2 xx "AC" = 1/2 xx 12 = 6` cm
and OB = `1/2 xx "BD" = 1/2 xx 9 = 4.5` cm
APPEARS IN
संबंधित प्रश्न
In a quadrilateral, define of the following Sides.
In a convex hexagon, prove that the sum of all interior angle is equal to twice the sum of its exterior angles formed by producing the sides in the same order.
Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5.
If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that ∠C + ∠D = k ∠AOB, then find the value of k.
In ΔABC, E is the mid-point of median AD such that BE produced meets AC at F. IF AC = 10.5 cm, then AF =
Angle A of an isosceles trapezium ABCD is 115°; find the angles B, C and D.
In parallelogram ABCD, its diagonals intersect at point O. If OA = 6 cm and OB = 7.5 cm, find the length of AC and BD.

If three angles of a quadrilateral are 90° each, show that the given quadrilateral is a rectangle.
One angle of a hexagon is 140° and the remaining angles are in the ratio 4 : 3 : 4 : 5 : 4. Calculate the measures of the smallest and the largest angles.
The common part between the two angles BAC and DAB in the following figure is ______.

