Answer

Given,
$\angle\text{B}<\angle\text{A}$ and $\angle\text{C}<\angle\text{D}$ 
Now,
AO < BO ...(i) (Side opposite to the smaller angle is smaller)
OD < OC ...(ii) (Side opposite to the smaller angle is smaller)
Adding (i) and (ii),
AO + OD < BO + OC
AD < BC.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Two solid spheres made of the same metal have weights $5920g$ and $740g$, respectively. Determine the radius of the larger sphere, if the diameter of the smaller one is $5\ cm.$
Given below are the cumulative frequencies showing the weights of 685 students of a school. Prepare a frequency distribution table.
Weight (in kg)
No. of students
Below $30$
$0$
Below $30$
$24$
Below $35$
$78$
Below $40$
$183$
Below $45$
$294$
Below $50$
$408$
Below $55$
$543$
Below $60$
$621$
Below $65$
$674$
Below $70$
$685$
If perpendiculars from any point within an angle on its arms are congruents, prove that it lies on thebisector of that angle.
A spherical ball of lead $3\ cm$ in diameter is melted and recast into three spherical balls. If the diameters of two balls be $\frac{3}{2}$$cm$ and $2\ cm$, find the diameter of the third ball.
$ABCD$ is such a quadrilateral that $A$ is the centre of the circle passing through $B, C$ and $D.$ Prove that $\angle\text{CBD}+\angle\text{CDB}=\frac{1}{2}\angle\text{BAD}$
$P$ is any point on base $BC$ of $\triangle\text{ABC}$ and $D$ is the mid-point of $BC. DE$ is drawn parallel to $PA$ to meet $AC$ at $E$. If $\text{ar}(\triangle\text{ABC})=12\text{cm}^2,$ then find area of $\triangle\text{EPC}.$
The perimeter of a triangle is $300m.$ If its sides are in the ratio of $3 : 5 : 7.$ Find the area of the triangle.
How many cubic meters of earth must be dug out to sink a well $21\ m$ deep and 6m diameter? Find the cost of plastering the inner surface as well at ₹ $9.50$ per $m^2.$
Let $\triangle$ be the area of a triangle. Find the area of a triangle whose each side is twice the side of the given triangle.
Plot the following points on the graph paper$:(-3, 2)$