Area of a triangle = 

Base of a triangle = 

The semiperimeter of a triangle having the length of its sides as 20 cm, 15 cm, and 9 cm is

The perimeter of a triangular plot is 16 m.If the measures of its two sides are 5 m, and 6m, then find the third side.

Find the area of a right-angled triangle, if the radius of the semi-circle is 3 cm and altitude drawn to the hypotenuse is 2 cm.

Identify the wrong statement of the following:

When the information is gathered from a source which already had the information stored, the data obtained is called

In the following frequency distribution, what is the frequency of the variable 13?

The class marks of frequency distribution are 10,20,30,40, .... The class representing the class mark 30 is:

In a histogram, the heights of the rectangles are

Find the capacity of a tank of demensions 8 am \(\times\)6 cm \(\times\)2.5 cm.

Two cylinders have bases of same size. The diameter of each is 7 cm. If one of the cylinder is 10 cm high and the other is 20 cm high, then the ratio of their volumes is _________________

Find the mode of the numbers: 14,14,15,27,26,27,27,22,13

The range of the data is: 25,18,20,22,16,6,17,12,30,32,10,19,8,11,20 is:

A die is thrown, what will be the probability of getting an even number?

Construct an equilateral triangle PQR,When PQ = 5.5 cm

The sides of a right triangle ABC are 5 cm, 12 cm and 13 cm. Find the area of the triangle.

Find the area of a triangle two sides of which are 8 cm and 11 cm and the perimeter is 32 cm.

Manisha has a garden in the shape of a rhombus.The-perimeter of the garden is 40 m and its diagofial is 16 m. She wants to divide it into two equal parts and use these parts in rotation. Find the area of each part of the garden.

The surface area of a cuboid is 1372 cm².If its dimensions are in the ratio 4: 2: 1, find its length.

The height, breadth and length of a cuboidal box are in the ratio 1 : 2 : 3. Find the volume of the box if its surface area is 1078 dm².

A solid cuboid of dimensions 12 cm \(\times \) 18 cm \(\times \) 10 cm is cut into cubes of side 2 cm. How many such cubes can be cut from the cuboid? Compare the total surface area of the cube and cuboid.

The volume of a right circular cylinder is 1100 cm³ and the radius of its base is 5 m. Find its curved surface area. \(\left( Use\ \pi =\frac { 22 }{ 7 } \right) \)

How many cylindrical glasses of 3 cm base radius and height 8 cm can be refilled from a cylindrical vessel of base radius 15 cm which is filled upto a height of 32 cm?

A cylindrical container of base radius 28 cm contains sufficient water to submerge a rectangular block of iron with dimensions 32 cm \(\times\) 22 cm \(\times\) 14 cm. Find the rise in the level of water, when the block is completely submerged.

Find the volume of a sphere of radius 11.2 cm.

Find the radius of a sphere whose surface area is 616 cm².

The curved surface area of a right circular cylinder of height 14 cm is 88 cm². Find the radius of the base of cylinder.

Find the radius of the base of a right circular cylinder whose curved surfac area is \(\frac { 2 }{ 3 } \)of the sum of the surface areas of two circular faces. The height of the cylinder is given to be 15 cm.

The marks obtained out of 75 by 30 students of a class in an examination are given below:
42,21,50,37,42,37,38,42,49,52,38,53,57,47,29,59,61,33,17,17,39,44,42,39,14,7,27,19,54,51
Prepare a frequency distribution table in which the size of class intervals is the same and one class intervalis 0-10.

Prepare a frequency table from the data follows:

Consider the marks, out of 100, obtained by 51 students of a class in a test:

Draw a frequency polygon corresponding to this frequency distribution table.

Ten observations 6,14,15,17,x+1,2x-13,30,32,34,33 are written in ascending order. The median of data is 24. Find the value of x.

Construct an equilateral triangle, given its side and justify the construction.

Construct a right triangle whose base is 4 cm and sum of its hypotenuse and other side is 8 cm.

The sides of a triangle are in the ratio of 25: 17: 12 and its perimeter is 1080 cm. Find its area.

\(\triangle \)ABC is an isosceles triangle with AB = AC.The perimeter of the triangle is 36 cm and AB = 10 cm. What is the area of the triangle?

Find the area of a right-angled \(\Delta \)ABC, right angled at B in which AB = 24 metre and BC = 10 metre.