Question
Construct a quadrilateral ABCD in which AB = 7.7cm, BC = 6.8cm, CD = 5.1cm, AD = 3.6cm and $\angle\text{C}=120^\circ.$
✓
Answer
Steps of construction:Step I: Draw DC = 5.1cm.
Step II: Construct $\angle\text{DCB}=120^\circ.$
Step III: With C as the centre and radius 6.8cm, cut off BC = 6.8cm.
Step IV: With B as the centre and radius 7.7cm, draw an arc.
Step V: With D as the centre and radius 3.6cm, draw an arc to intersect the arc drawn in Step IV at A.
Step VI: Join AB and AD to obtained 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
The difference between the compound interest and the simple interest on a certain sum for 3 years at 10% per annum is Rs. 93. Find the sum.
Various modes of transport used by 1260 students in a given school are given below:
Represent the above data by a pie chart.
|
School bus
|
Private bus
|
Bicycle
|
Rickshaw
|
On foot
|
|
350
|
245
|
210
|
175
|
280
|
Draw the temperature-time graph in each of the following cases:
→| Time (in hours): | 7:00 | 8:00 | 9:00 | 10:00 | 11:00 | 12:00 | 13:00 | 14:00 |
| Speed (in km/hr): | 30 | 45 | 60 | 50 | 70 | 50 | 40 | 45 |
| Time (in hours): | 8:00 | 10:00 | 12:00 | 14:00 | 16:00 | 18:00 | 20:00 |
| Temperature $\left({ }^{\circ} F \right)$ in: | 100 | 101 | 104 | 103 | 99 | 98 | 100 |
In the given figure, parts of triangles indicated by identical marks are congruent.
a. Identify the one-to-one correspondence of vertices in which the two triangles are congruent and write the congruence.
b. State with reason, whether the statement, ∆XYZ ≅ ∆STU is right or wrong.
a. Identify the one-to-one correspondence of vertices in which the two triangles are congruent and write the congruence.
b. State with reason, whether the statement, ∆XYZ ≅ ∆STU is right or wrong.
If perimeter of a rhombus is 100 cm and length of one diagonal is 48 cm, what is the area of the quadrilateral ?
The following table shows the percentages of buyers of four different brands of bathing soaps.
Represent the above data by a pie chart.
|
Brand
|
A | B | C | D |
|
Percentage of buyers
|
20%
|
40%
|
25% |
15%
|
Solve the following equation and also check your result in case:
$\frac{4\text{x}}{9}+\frac{1}{3}+\frac{13}{108}\text{x}=\frac{8\text{x}+19}{18}$
→$\frac{4\text{x}}{9}+\frac{1}{3}+\frac{13}{108}\text{x}=\frac{8\text{x}+19}{18}$
Find the area of the pentagon shown in fig. if AD = 10cm, AG = 8cm, AH = 6cm, AF = 5cm, BF = 5cm, CG = 7cm and EH = 3cm.
Umatai purchased following items from a Khadi – Bhandar.
i. 3 sarees for Rs 560 each.
ii. 6 bottles of honey for Rs 90 each.
On the purchase, she received a rebate of 12%. How much total amount did Umatai pay ?
i. 3 sarees for Rs 560 each.
ii. 6 bottles of honey for Rs 90 each.
On the purchase, she received a rebate of 12%. How much total amount did Umatai pay ?
Draw chord AB of a circle with centre O. Draw perpendicular OP to chord AB. Measure seg AP and seg PB. What do you observe.