Question
Construct a square, if : one diagonal is $6.2\  cm$.

Answer


Steps :
  1. Draw $BD = 6.2 \ cm.$
  2. Draw perpendicular bisector $XY$ of $BD$.
  3. Cut $OA = OC = 3.1 \ cm ($half the diagonal$)$
  4. Join $AB, AD, BC$, and $CD$.
    Thus $ABCD$ is the required square.

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

If $5x – 4y = 7$ and $xy = 8,$ find $: 125x^3 – 64y^3.$
Construct a parallelogram $ABCD$, if :lengths of diagonals $AC$ and $BD$ are $5.4 \ cm$ and $6.7 \ cm$ respectively and the angle between them is $60^\circ .$
The following are the marks obtained by $30$ students in an examination.  
$15$ $20$ $8$ $9$ $10$
$16$ $17$ $20$ $24$ $30$
$44$ $47$ $38$ $36$ $40$
$27$ $25$ $28$ $30$ $19$
$7$ $11$ $21$ $31$ $41$
$37$ $47$ $23$ $20$ $17$
Taking class intervals $0-10, 10-20, ……… 40-50$ ; construct a frequency table.
The marks out of 50, obtained by 30 students of a class in an examination are given below :
$
\begin{array}{l}
40,12,46,37,17,27,30,6,2,23,19,39,25,5,33 \\
19,21,12,41,17,12,19,17,8,10,1,9,21,13,48
\end{array}
$
Arrange them in ascending order and present it as a grouped data, by taking class-intervals $0-10,10-20,20-30,30-40,40-50$
A contractor undertakes to dig a canal, $6$ kilometers long, in $35$ days and employed $90$ men. He finds that after $20$ days only $2\  \text{km}$ of the canal has been completed. How many more men must be employed to finish the work on time?
Use the direct method to evaluate the following products :  $(b – 3) (b – 5)$
Use the direct method to evaluate : $(xy+4) (xy−4)$
Half of a herd of deer are grazing in the field and three-fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond.
Q.1. If $x$ represents the total number of deer in the herd, which of the following equations holds true?
(a) $\frac{x}{2}+\frac{3 x}{4}=x+9$ $\quad$ (b) $\frac{x}{2}+\frac{3 x}{8}=x+9$ $\quad$ (c) $\frac{x}{2}+\frac{3 x}{4}=x-9$ $\quad$ (d) $\frac{x}{2}+\frac{3 x}{4}=x-9$
Q.2. The total number of deer in the herd is:
(a) 63 $\quad$ (b) 72 $\quad$ (c) 81 $\quad$ (d) 90
Q.3. If there is one attendant for every four grazing, deer, how many attendants are there ?
(a) 8 $\quad$ (b) 9 $\quad$ (c) 16 $\quad$ (d) 18
Q.4. The ratio between the number of deer grazing those playing and those drinking water from the pond is :
(a) $3: 2: 1$ $\quad$ (b) $4: 3: 1$ $\quad$ (c) $4: 3: 2$ $\quad$ (d) $9: 3: 1$
Find the square of $3a − 2b − 5c$
If the diagonals of a parallelogram are of equal lengths, the parallelogram is a rectangle. Prove it.