Advertisements
Advertisements
प्रश्न
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.
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 ⇒ AC = 2 × OA
⇒ AC = 2 × 6 cm = 12 cm,
and OB = `1/2 xx "BD"` ⇒ BD = 2 × OB
⇒ BD = 2 × 7.5 cm ⇒ BD = 15 cm
APPEARS IN
संबंधित प्रश्न
Complete of the following, so as to make a true statement:
A point is in the interior of a convex quadrilateral, if it is in the ..... of its two opposite angles.
Mark the correct alternative in each of the following:
The opposite sides of a quadrilateral have
In quadrilateral ABCD, side AB is parallel to side DC. If ∠A : ∠D = 1 : 2 and ∠C : ∠B = 4 : 5
(i) Calculate each angle of the quadrilateral.
(ii) Assign a special name to quadrilateral ABCD
The angles A, B, C and D of a quadrilateral are in the ratio 2 : 3 : 2 : 3. Show this quadrilateral is a parallelogram.
The diagonals of a rhombus are 6 .cm and 8 cm. State the angle at which these diagonals intersect.
If one angle of a cyclic quadrilateral is 75°, then the opposite angle is
If bisectors of ∠A and ∠B of a quadrilateral ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a ______.
A pair of opposite sides of a trapezium are ______.
In the following figure,
∠AOD is a/an ______ angle
Using the information given, name the right angles in part of figure:
OP ⊥ AB
