Question
Construct a quadrilateral ABCD, in which AB = 6cm, BC = 4cm, CD = 4cm, $\angle\text{B}=95^\circ$ and $\angle\text{C}=90^\circ.$

Answer


Steps of construction:
Step I: Draw BC = 4cm.
Step II: Construct $\angle\text{ABC}=95^\circ$ at B.
Step III: With B as the centre and radius 6cm, cut off BA = 6cm.
Step IV: Construct $\angle\text{BCD}=90^\circ$ at C.
Step V: With C as the centre and radius 4cm, cut off BA = 4cm.
Step VI: Join CD.
The quadrilateral so obtained 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.

Start Generating Free

Similar questions

Show the following information by a percentage bar graph.
Division of standard 8ABCD
Number of students securing grade A45331015
Total number of students60554075
In ∆LMN, __ is an altitude and __ is a median, (write the names of appropriate segments.)
Image
Which of the following statements are of inverse variation?
i. Number of workers on a job and time taken by them to complete the job.
ii. Number of pipes of same size to fill a tank and the time taken by them to fill the tank.
iii. Petrol filled in the tank of a vehicle and its cost.
iv. Area of circle and its radius.
The areas of three adjacent faces of a cuboid are $v, y$ and $z$. If the volume is $V^1$ prove that $V^2=x y z$.
Using Euler's formula find the unknown:
Faces
?
5
20
Vertices
6
?
12
Edges
12
9
?
Construct a frequency table for the following weights (in gm) of 35 mangoes using the equal class intervals, one of them is 40-50 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.
  1. What is the class mark of the class interval 40-45?
  2. What is the range of the above weights?
  3. How many classes are there?
Draw a rhombus whose side is 7.2cm and one angle is 60°.
Find the length of the longest rod that can be placed in a room 12m long, 9m broad and 8m high.
Construct the triangles with given measures.
∆ABC: l(AB) = 5 cm, l(BC) = 5.5, l(AC) = 6 cm.
Aasheesh can paint his doll in 20 minutes and his sister Chinki can do so in 25 minutes. They paint the doll together for five minutes. At this juncture they have a quarrel and Chinki withdraws from painting. In how many minutes will Aasheesh finish the painting of the remaining doll?