Question
Construct the following and give justification:
A rhombus whose diagonals are 4cm and 6cm in lengths.
A rhombus whose diagonals are 4cm and 6cm in lengths.
✓
Answer
To construct, A rhombus ABCD. Step of constuction,
- Take AC = 6cm.
- Draw BD the right bisectors of AC.
- Cut off MB = 2cm.
- Join AB, BC, Cd and DA.
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
Factorise: $3x^3 - x^2 - 3x + 1$
→Rationalise the denominator of the following:
$\frac{\sqrt{6}}{\sqrt{2}+\sqrt{3}}$
→$\frac{\sqrt{6}}{\sqrt{2}+\sqrt{3}}$
(Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Cross street is referred to in this manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find: how many cross - streets can be referred to as (4, 3).
Express the following decimals in the form $\frac{\text{p}}{\text{q}},$ where p, q are integers and $\text{q}\neq0.$
$0.\overline{2}$
→$0.\overline{2}$
A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the following table:
Find the probability:
| Monthly income (in Rs.) | Number of Televisions/ household | |||
| 0 | 1 | 2 | Above 2 | |
| <10000 10000-14999 15000-19999 20000-24999 25000 and above |
20 10 0 0 0 |
80 240 380 520 1100 |
10 60 120 370 760 |
0 0 30 80 220 |
- Of a household earning Rs. 10000 - Rs 14999 per year and having exactly one television.
- Of a household earning Rs. 25000 and more per year and owning 2 televisions.
- Of a household not having any television.
A metal cube of edge $12\ cm$ is melted and formed into three smaller cubes. If the edges of the two smaller cubes are $6\ cm$ and $8\ cm,$ find the edge of the third smaller cube.
→A spherical cannonball 28cm in diameter is melted and cast into a right circular cone mould, whose base is 35cm in diameter. Find the height of the cone.
If $x + 1$ is a factor of $ax^3 + x^2 - 2x + 4a - 9,$ find the value of $a.$
→The slant height and base diameter of a conical tomb are $25$ and $14 m$ respectively. Find the cost of whitewashing its curved surface at the rate of $₹ 12 \ per \ m^2.($ Use $\pi=\frac{22}{7}).$
→If x = 3 and y = -1, find the values of the following using in identity:
$\Big(\frac{\text{x}}{4}-\frac{\text{y}}{3}\Big)\Big(\frac{\text{x}^2}{16}+\frac{\text{xy}}{12}+\frac{\text{y}^2}{9}\Big)$
→$\Big(\frac{\text{x}}{4}-\frac{\text{y}}{3}\Big)\Big(\frac{\text{x}^2}{16}+\frac{\text{xy}}{12}+\frac{\text{y}^2}{9}\Big)$