Question
Construct a quadrilateral $ABCD$ in which $AB = 3.5\ cm, BC = 5\ cm, CD = 4.6\ cm,$ $\angle\text{B}=125^\circ$ and $\angle\text{C}=60^\circ.$
✓
Answer
Steps of construction:
Step 1: Draw $BC = 5\ cm.$
Step 2: Make $\angle\text{B}=125^\circ$ and $\angle\text{C}=60^\circ.$
Step 3: With $B$ as the centre, draw an arc of $3.5\ cm.$ Name that point as $A.$
Step 4: With $C$ as the centre, draw an arc of $4.6\ cm.$ Name that point as $D.$
Step 5: Join $A$ and $D.$
Then, $ABCD$ is the required quadrilateral.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Sita can finish typing a $100$ page document in $9$ hours. Mita in $6$ hours and Rita in $12$ hours. How long will they take to type a $100$ page document if they work together?
→Solve the following equation and also check your result in case:
$\Big[(2\text{x}+3)+(\text{x+5})\Big]^2+\Big[(2\text{x}+3)-(\text{x}+5)\Big]^2=10\text{x}^2+92$
→$\Big[(2\text{x}+3)+(\text{x+5})\Big]^2+\Big[(2\text{x}+3)-(\text{x}+5)\Big]^2=10\text{x}^2+92$
The angle between the altitudes of a parallelogram through the same vertex of an obtuse angle of the parallelogram is $60^\circ $. Find the angles of the parallelogram.
→How many bricks each of size $25\ cm \times 10\ cm \times 8\ cm$ will be required to build a wall $5\ m$ long, $3\ m$ high and $16\ cm$ thick assuming that the volume of sand and cement used in the construction is negligible?
→In the new budget, the price of petrol rose by $10\%$. By how much percent must one reduce the consumption so that the expenditure does not increase?
→Water flows out through a circular pipe whose internal diameter is $2\ cm$, at the rate of $6$ metres per second into a cylindrical tank, the radius of whose base is $60\ cm$. Find the rise in the level of water in $30$ minutes?
→Diagonals of a parallelogram $ABCD$ intersect at $O$. $AL$ and $CM$ are drawn perpendiculars to $BD$ such that $L$ and $M$ lie on $BD$. Is $AL = CM$? Why or why not?
→A mixture of paint is prepared by mixing $1$ part of red pigments with $8$ parts of base. In the following table, find the parts of base that need to be added.
→| Parts of red pigment | $1$ | $4$ | $7$ | $12$ | $20$ |
| Parts of base | $8$ | ... | ... | ... | ... |
The following histogram shows the monthly wages $($ in $Rs.)$ of workers in a factory:
$1.$ In which wage$-$group the largest number of workers are being kept? What is their number?
$2.$ What wages are the least number of workers getting? What is the number of such workers?
$3.$ What is the total number of workers?
$4.$ What is the factory size?
→$1.$ In which wage$-$group the largest number of workers are being kept? What is their number?
$2.$ What wages are the least number of workers getting? What is the number of such workers?
$3.$ What is the total number of workers?
$4.$ What is the factory size?
A rectangular sheet of paper is rolled in two different ways to form two different cylinders. Find the volume of cylinders in each case if the sheet measures $44\ cm \times 33\ cm$.
→