Advertisements
Advertisements
Question
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
Solution
∵ 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
RELATED QUESTIONS
The perimeter of a parallelogram is 22 cm . If the longer side measures 6.5 cm what is the measure of the shorter side?
In a quadrilateral, define of the following Adjacent angles .
Complete of the following, so as to make a true statement:
A quadrilateral is convex if, for each side, the remaining ______ lie on the same side of the line containing the side.
Three angles of a quadrilateral are equal. If the fourth angle is 69°; find the measure of equal angles.
In quadrilateral WXYZ, the pairs of opposite angles are ______.
Both the pairs of opposite angles of a quadrilateral are equal and supplementary. Find the measure of each angle.
In the following figure, What is BD – DE?
Using the information given, name the right angles in part of figure:
BA ⊥ BD
Using the information given, name the right angles in part of figure:
OP ⊥ AB
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?
