Question
Construct a rhombus, having given one side $= 4.8 \ cm$ and one angle $= 75^o.$
✓
Answer
Steps:
$1$.draw a line $A B=4.8 \ cm$
$2$. At $A$ Draw $A X$ such that $\angle B A X=75^{\circ}$.
$3$. With $A$ as a center and measurement equal to $A B$ cut off an arc at $D$ on $AX.$
$4.$ Using the same radius taking $D$ and $B$ as centers cut off arcs, which will intersect at $C$.
$5$. Join $C D$ and $C B$.
$\text{ABCD}$ is the required rhombus.
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
Evaluate the following :$(3.29)^3 + (6.71)^3$
→A man saves $Rs. 3,000$ every year and invests it at the end of the year at $10\%$ compound interest. Calculate the total amount of his savings at the end of the third years.
→Show that: $x^3+\frac{1}{x^3}=52$, if $\mathrm{x}=2+\sqrt{3}$
→A chord $CD$ of a circle whose center is $O$ is bisected at $P$ by a diameter $AB.$ Given $OA = OB = 15 \ cm$ and $OP = 9 \ cm.$Calculate the lengths of $: (i) \ CD ; (ii)\ AD ; (iii) \ CB.$
→Find the value $'x\ ',$ if:
→Find the angles of an isosceles triangle whose equal angles and the non $-$ equal angles are in the ratio $3: 4.$
→The external dimensions of a closed wooden box are $27 \ cm, 19 \ cm,$ and $11 \ cm$. If the thickness of the wood in the box is $1.5 \ cm;$ find:$1.$ The volume of the wood in the box;$2.$ The cost of the box, if wood costs $Rs. 1.20$ per $cm^3;3.$ A number of $4 \ cm$ cubes that could be placed into the box.
→Evaluate the following:$(27)^{\frac{2}{3}} \times 8^{\frac{-1}{6}} \div 18^{\frac{-1}{2}}$
→Arrange the sides of $\triangle BOC$ in descending order of their lengths. $BO$ and $C O$ are bisectors of angles $\text{ABC}$ and $\text{ACB}$ respectively.
→The volume of a cuboid is 14400 $cm ^3$ and its height is 15 cm. The cross-section of the cuboid is a rectangle having its sides in the ratio 5 : 3. Find the perimeter of the cross-section.
→