Question
Draw a trapezium ABCD in which AB || DC, AB = 7cm, BC = 5cm, AD = 6.5cm and $\angle\text{B}=60^\circ.$
✓
Answer
Steps of construction:Step 1: Draw AB equal to 7cm.
Step 2: Make an angle, $\angle\text{ABX},$ equal to 60°.
Step 3: With B as the centre, draw an arc of 5cm. Name that point as C. Join B and C.
Step 4: AB || DC
$\therefore\angle\text{ABX}+\angle\text{BCY}=180^\circ$
$\Rightarrow\angle\text{BCY}=180^\circ-60^\circ=120^\circ$
Draw an angle, $\angle\text{BCY},$ equal to 120º.
Step 5: With A as the centre, draw an arc of length 6.5cm, which cuts CY. Mark that point as D.
Step 6: Join A and D.
Thus, ABCD is the required trapezium.
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
Raju sold a bicycle to Amit at 8% profit. Amit repaired it spending Rs 54. Then he sold the bicycle to Nikhil for Rs 1134 with no loss and no profit. Find the cost price of the bicycle for which Raju purchased it.
In a quadrilateral ABCD, CO and DO are the bisectors of $\angle\text{C}$ and $\angle\text{D}$ respectively. Prove that $\angle\text{COD}=\frac{1}{2}(\angle\text{A}+\angle\text{B})$.
→By selling 90 ball pens for for Rs. 160, a person losses 20%. How many ball pens should be sold for Rs. 96 so as to have a profit of 20%.
Solve the following equation and also check your result in case:
$(3\text{x}-8)(3\text{x+2})-(4\text{x}-11)(2\text{x}+1)=(\text{x}-3)(\text{x}+7)$
→$(3\text{x}-8)(3\text{x+2})-(4\text{x}-11)(2\text{x}+1)=(\text{x}-3)(\text{x}+7)$
The marks obtained (out of 20) by 30 students of a class in a test are given below:
7, 10, 8, 16, 13, 14, 15, 11, 18, 11, 15, 10, 7, 14, 20, 19, 15, 16, 14, 20, 10, 11, 14, 17, 13, 12, 15, 14, 16, 17.
Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval in 3-8 (including 2 and excluding 8). From the frequency distribution table so obtained, draw a histogram.
7, 10, 8, 16, 13, 14, 15, 11, 18, 11, 15, 10, 7, 14, 20, 19, 15, 16, 14, 20, 10, 11, 14, 17, 13, 12, 15, 14, 16, 17.
Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval in 3-8 (including 2 and excluding 8). From the frequency distribution table so obtained, draw a histogram.
Find the area of the field shown in Fig. by dividing it into a square, a rectangle and a trapezium.
Ravish sold his motorcycle to Vineet at a loss of 28%. Vineet spent Rs. 1680 on its repairs and sold the motor cycle to to Rahul for Rs. 35910, thereby making a profit of 12.5%, find the cost price of the motor cycle for Ravish.
The diameter of a wheel of a bus is 90cm which makes 315 revolutions per minute. Determine its speed in kilometres per hour. $\Big(\text{Take }\pi=\frac{22}{7}\Big)$
→Diameter of the circular garden is 42 m. There is a 3.5 m wide road around the garden. Find the area of the road.
The following data shows the expenditure of a person on different items during a month. Represent the data by a pie-chart.
|
Items of expenditure
|
Rent
|
Education
|
Food
|
Clothing
|
Others
|
|
Amount (in Rs.)
|
2700
|
1800
|
2400
|
1500
|
2400
|