Question
Construct a quadrilateral $\text{BEAR}$ in which $\text{BE} = 6\ cm, \text{EA} = 7\ cm, \text{RB = RE} = 5\ cm$ and $\text{BA} = 9\ cm$. Measure its fourth side.
✓
Answer
Steps of Construction:
$1.$ Draw a line segment $\text{BE} = 6\ cm$
$2.$ With B as centre, draw an arc $\text{BR} = 5\ cm$ and with $E$ as centre , draw an arc $\text{EA} = 7\ cm$.
$3.$ Now, draw an another arc $\text{BA} = 9\ cm$ with $B$ as a centre which cut$-$off arc $\text{AE}$.
$4.$ Draw an another arc $\text{ER} = 5\ cm$ with $E$ as centre, which cut$-$off arc $\text{BR}$.
$5.$ Now join $\text{BR, EA}$ and $\text{AR}$.
Thus, we have required quadrilateral $\text{BEAR}$. Also, $\text{AR} = 5\ cm$.
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
Verify commutativty of addition of rational numbers for the following pairs of rotional number:
$4$ and $\frac{-3}{5}$
→$4$ and $\frac{-3}{5}$
An altitude of a triangle is five-thirds thelength of its corresponding base. If the altitude be increased by $4\ cm$ and the base decreased by $2\ cm$, the area of the triangle remains the same. Find the base and the altitude of the triangle.
→A company sells biscuits. For packing purpose they are using cuboidal boxes : Box $A \rightarrow 3 cm \times 8 cm \times 20 cm$ and Box $B \rightarrow 4 cm \times 12 cm \times 10 cm$. What size of the box will be economical for the company? Why? Can you suggest any other size (dimensions) which has the same volume but is more economical than these?
→Verify the following: $-1+\Big(\frac{-2}{3}+\frac{-3}{4}\Big)=\Big(-1+\frac{-2}{3}\Big)+\frac{-3}{4}$
→By what numbers should the following be divided to get a perfect square in case? Also, find the number whose square is the new number.$1575$
→Find the amount and the compound interest on $Rs. 160000$ for $2$ years at $10\%$ per annum, compounded half-yearly.
→Predicting the ones digit, copy and complete this table and answer the questions that follow.
$a.$ Describe patterns you see in the ones digits of the powers.
$b.$ Predict the ones digit in the following:
$i. 4^{12}$
$ii. 9^{20}$
$iii. 3^{17}$
$iv. 5^{100}$
$v. 10^{500}$
$c.$ Predict the ones digit in the following:
$i. 31^{10}$
$ii. 12^{10}$
$iii.17^{21}$
$iv. 29^{10}$
→|
$x$
|
$1^x$
|
$2^x$
|
$3^x$
|
$4^x$
|
$5^x$
|
$6^x$
|
$7^x$
|
$8^x$
|
$9^x$
|
$10^x$
|
|
$1$
|
$1$
|
$2$
|
|
|
|
|
|
|
|
|
|
$2$
|
$1$
|
$4$
|
|
|
|
|
|
|
|
|
|
$3$
|
$1$
|
$8$
|
|
|
|
|
|
|
|
|
|
$4$
|
$1$
|
$16$
|
|
|
|
|
|
|
|
|
|
$5$
|
$1$
|
$32$
|
|
|
|
|
|
|
|
|
|
$6$
|
$1$
|
$64$
|
|
|
|
|
|
|
|
|
|
$7$
|
$1$
|
$128$
|
|
|
|
|
|
|
|
|
|
$8$
|
$1$
|
$256$
|
|
|
|
|
|
|
|
|
|
Ones Digit of the Powers
|
$1$
|
$2, 4, 8, 6$
|
|
|
|
|
|
|
|
|
$b.$ Predict the ones digit in the following:
$i. 4^{12}$
$ii. 9^{20}$
$iii. 3^{17}$
$iv. 5^{100}$
$v. 10^{500}$
$c.$ Predict the ones digit in the following:
$i. 31^{10}$
$ii. 12^{10}$
$iii.17^{21}$
$iv. 29^{10}$
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?
→Represent the following data with the help of a pie-diagram:
→|
Items
|
Wheat
|
Rice
|
Tea
|
|
Production (in metric tons)
|
$3260$
|
$1840$
|
$900$
|
Study the distance-time graph given below for a car to travel to certain places and answer the questions that follow.
(i) How far does the car travel in 2 h ?
(ii) How much time does the car take to reach $R$ ?
(iii) How long does the car take to cover 80 km ?
(iv) How far is Qfrom the starting point?
(v) When does the car reach the place Safter starting?
→(i) How far does the car travel in 2 h ?
(ii) How much time does the car take to reach $R$ ?
(iii) How long does the car take to cover 80 km ?
(iv) How far is Qfrom the starting point?
(v) When does the car reach the place Safter starting?