Question
Construct a rhombus $\text{CLUE}$ in which $\text{CL} = 7.5\ cm$ and $\text{LE} = 6\ cm$.
✓
Answer
All sides of a rhombus are equal $\&$ parallel to each other.
Steps of Construction:
$1.$ Draw a line segment $\text{CL} = 7.5\ cm$.
$2.$ With $C$ as centre, draw an arc $\text{CE} = 7.5\ cm$.
$3.$ With $L$ as centre, draw another arc $\text{LU} = 7.5\ cm$.
$4.$ Now with centre $L$, draw an arc $\text{LE} = 6\ cm$, which cut$-$off previous arc $\text{CE}$.
$5.$ With $E$ as centre, draw an arc $\text{UE} = 7.5\ cm,$ which cut$-$off previous arc $\text{LU}$.
$6.$ Now, Join $\text{UL, CE}$ and $\text{EU}$.
Thus, we have required rhombus $\text{CLUE}$.
Steps of Construction:
$1.$ Draw a line segment $\text{CL} = 7.5\ cm$.
$2.$ With $C$ as centre, draw an arc $\text{CE} = 7.5\ cm$.
$3.$ With $L$ as centre, draw another arc $\text{LU} = 7.5\ cm$.
$4.$ Now with centre $L$, draw an arc $\text{LE} = 6\ cm$, which cut$-$off previous arc $\text{CE}$.
$5.$ With $E$ as centre, draw an arc $\text{UE} = 7.5\ cm,$ which cut$-$off previous arc $\text{LU}$.
$6.$ Now, Join $\text{UL, CE}$ and $\text{EU}$.
Thus, we have required rhombus $\text{CLUE}$.
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
Perform the following divisions.
(i) $\left(3 p q r-6 p^2 q^2 r^2\right)÷ 3 p q$
(ii) $\left(a x^3-b x^2+c x\right)÷ (-d x)$
(iii) $\left(x^3 y^3+x^2 y^3-x y^4 + x y\right)÷x y$
(iv) $(-q r x y+p r y z-n y z)÷ (-x y z)$
→(i) $\left(3 p q r-6 p^2 q^2 r^2\right)÷ 3 p q$
(ii) $\left(a x^3-b x^2+c x\right)÷ (-d x)$
(iii) $\left(x^3 y^3+x^2 y^3-x y^4 + x y\right)÷x y$
(iv) $(-q r x y+p r y z-n y z)÷ (-x y z)$
Toshiba bought $100$ hens for $Rs. 8000$ and sold $20$ of these at a gain of $5\%$. At what gain percent she must sell the remaining hens so as to gain $20\%$ on the whole?
→A field is $150m$ long and $100m$ wide. A plot (outside the field) $50m$ long and $30m$ wide is dug to a depth of $8m$ and the earth taken out from the plot is spread evenly in the field. By how much the level of field is raised?
→Draw a rhombus whose side is $7.2\ cm$ and one angle is $60^\circ .$
→The difference between the compound interest and simple interest on a certain sum at $15\%$ per annum for $3$ years is $Rs. 283.50$. Find the sum.
→Find the least number which must be subtracted from $3250$ so as to get a perfect square. Also find the square root of the perfect square so obtained.
→A classroom is $7\ m$ long, $6\ m$ broad and $3.5\ m$ high. Doors and windows occupy an area of $17\ m^2$. What is the cost of white-washing the walls at the rate of $Rs. 1.50$ per $m ^2$.
→In $2007-08,$ the number of students appeared for Class X examination was $105332$ and in $2008-09,$ the number was $116054.$ If $88151$ students pass the examination in $2007-08$ and $103804$ students in $2008-09.$ What is the increase or decrease in pass$\%$ in Class X result?
→The given figure shows the dimensions of a wall having a window and a door of a room. Write an algebraic expression for the area of the wall to be painted.
Construct a parallelogram $ABCD$ in which $AB = 4.3\ cm, AD = 4\ cm$ and $BD = 6.8\ cm.$
→