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
Complete of the following, so as to make a true statement:
A quadrilateral has ....... sides.
Complete the following statement by means of one of those given in brackets against each:
If one pair of opposite sides are equal and parallel, then the figure is ........................
Complete the following statement by means of one of those given in brackets against each:
If opposite angles of a quadrilateral are equal, then it is necessarily a ....................
Angles of a quadrilateral are (4x)°, 5(x+2)°, (7x – 20)° and 6(x+3)°. Find :
(i) the value of x.
(ii) each angle of the quadrilateral.
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 ______.
In the following figure, if point A is shifted to point B along the ray PX such that PB = 2PA, then the measure of ∠BPY is ______.
In the following figure, What is BD – BE?
Using the information given, name the right angles in part of figure:
AC ⊥ BD
Investigate :
Use strips and fasteners to make a triangle and a quadrilateral.
Try to push inward at any one vertex of the triangle. Do the same to the quadrilateral. Is the triangle distorted? Is the quadrilateral distorted? Is the triangle rigid?
Why is it that structures like electric towers make use of triangular shapes and not quadrilaterals?
In quadrilateral PQRS, which pair represents adjacent sides?
