Question
Construct a rhombus $ABCD$ in which $AB = 4\ cm$ and diagonal $AC$ is $6.5\ cm.$
✓
Answer
Steps of construction:
Step 1: Draw $AB = 4\ cm.$
Step 2: With $B$ as the centre, draw an arc of $4\ cm.$
Step 3: With $A$ as the centre, draw another arc of $6.5\ cm,$ cutting the previous arc at $C.$
Step 4: Join $AC$ and $BC.$
Step 5: With $C$ as the centre, draw an arc of $4\ cm$.
Step 6: With $A$ as the centre, draw another arc of $4\ cm,$ cutting the previous arc at $D.$
Step 7: Join $AD$ and $CD.$
$ABCD$ 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
How many planks each of which is $3\ m$ long, $15\ cm$ broad and $5\ cm$ thick can be prepared from a wooden block $6\ m$ long, $75\ cm$ broad and $45\ cm$ thick?
→
In the figure, $\text{ABCD}$ is a quadrilateral.
$i.$ Name a pair of adjacent sides.
$ii.$ Name a pair of opposite sides.
$iii.$ How many pairs of adjacent sides are there?
$iv.$ How many pairs of Opposite sides are there?
$v.$ Name a pair of adjacent angles.
$vi.$ Name a pair of opposite angles.
$vii.$ How many pairs of adjacent angles are there?
$viii.$ How many pairs of opposite angles are there?
Find the area of pentagon $ABCDE$ in which $\text{BL}\perp\text{AC},\text{DM}\perp\text{AC}$ and $\text{EN}\perp\text{AC}$ such that $AC = 18\ cm, AM = 14\ cm, AN = 6\ cm, BL = 4\ cm, DM = 12\ cm$ and $EN = 9\ cm.$
→In Dethi University, in the year $2009- 10,49000$ seats were available for admission to various courses at graduation level.
Out of these, 28200 seats were for the students of General category, while 7400 seats were reserved for SC and 3700 seats for ST.
Find the percentage of seats availale for
(i) students of General category.
(ii) students of SC and ST categories taken together.
→Out of these, 28200 seats were for the students of General category, while 7400 seats were reserved for SC and 3700 seats for ST.
Find the percentage of seats availale for
(i) students of General category.
(ii) students of SC and ST categories taken together.
Find the least number of six digits which is a perfect square.
The students of a class arranged a picnic. Each student contributed as many rupees as the number of students in the class. If the total contribution is $Rs. 1156,$ find the strength of the class.
→Solve the following equation and verify your answer: $\frac{2}{3\text{x}}-\frac{3}{2\text{x}}=\frac{1}{12}$
→Construct a square, each of whose diagonals measures $5.8\ cm.$
→Given below is a frequency distribution table. Read it and answer the questions that follow:
$a.$ What is the lower limit of the second class interval?
$b.$ What is the upper limit of the last class interval?
$c.$ What is the frequency of the third class?
$d.$ Which interval has a frequency of $10$?
$e.$ Which interval has the lowest frequency?
$f.$ What is the class size?
→|
Class Interval
|
Frequency
|
|
$10-20$
|
$5$
|
|
$20-30$
|
$10$
|
|
$30-40$
|
$4$
|
|
$40-50$
|
$15$
|
|
$50-60$
|
$12$
|
$b.$ What is the upper limit of the last class interval?
$c.$ What is the frequency of the third class?
$d.$ Which interval has a frequency of $10$?
$e.$ Which interval has the lowest frequency?
$f.$ What is the class size?
Total investment $= Rs. 12000.00$ Rate of interest for first part $= 10\%$ and for second part $= 12\%$ Annual income $= 1280.00$ Let the inverstment for the first part $= Rs. (12000 - a)$ According to the condition:
→