Question
Construct a square $\text{ABCD},$ when: One side $= 4.5 \ cm.$
✓
Answer
Steps:
$1.$ Draw a line segment $A B=4.5 \ cm$
$2.$ Draw $AP \perp AB$.
$3.$ From $A P$ cut off $A D=4.5 \ cm$.
$4.$ With $B$ as a center and radius $4.5 \ cm$ draw an arc.
$5.$ With $D$ as center and radius $4.5 \ cm$ draw another arc cutting the former arc at $C.$
$6.$ Join $B C$ and $C D$.
$\text{ABCD}$ 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.
Explore more
Similar questions
If $\triangle ABC, D$ and $E$ are points on $AB$ and $AC.$ Show that $DE \| BC$ for each of the following case or not:$AB = 10.8\ cm, BD = 4.5\ cm, AC = 4.8\ cm,$ and $AE = 2.8\ cm$
→Prove that: $\left(\frac{\cot 30^{\circ}+1}{\cot 30^{\circ}-1}\right)^2=\frac{\sec 30^{\circ}+1}{\sec 30^{\circ}-1}$
→In the given figure, $A P$ is the bisector of $\angle A$ and $C Q$ is the bisector of $\angle C$ of parallelogram $\text{ABCD}$.
Prove that $\text{APCQ}$ is a parallelogram.
→Prove that $\text{APCQ}$ is a parallelogram.
The curved surface area of a cylinder is $198\ cm^2$ and its base has diameter $21\ cm$. Find the height and the volume of the cylinder.
→At what rate of interest per annum will a sum of $Rs. 62,500$ earn a compound interest of $Rs. 5,100$ in one year? The interest is to be compounded half yearly.
→Simplify the following$\frac{\sqrt{5}-2}{\sqrt{5}+2}-\frac{\sqrt{5}+2}{\sqrt{5}-2}$
→Solve :$\frac{3}{2 x}+\frac{2}{3 y}=-\frac{1}{3}, \frac{3}{4 x}+\frac{1}{2 y}=-\frac{1}{8}$
→If $a=2^{\frac{1}{3}}-2^{\frac{-1}{3}}$, prove that $2 a^3+6 a=3$
→The annual incomes of $A$ and $B$ are in the ratio $3 :4$ and their annual expenditure are in the ratio $5 : 7.$ If each $Rs. 5000;$ find their annual incomes.
→Evaluate:$\sqrt{\frac{1}{4}}+(0.01)^{-\frac{1}{2}}-(27)^{\frac{2}{3}}$
→