In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with the same perimeter is

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

• 12 cm

• 6 cm

• 1 cm

• 1 cm

An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is

The in-radius of a triangle is 6 cm, and the sum of the lengths of its sides is 50 cm. The area of the triangle (in square cm.)

• 150

• 50

• 300

• 300

If the ratio of the angles of a quadrilateral is 2 : 7 : 2 : 7, then it is a

• trapezium

• parallelogram

• square

• square

If for an isosceles triangle the length of each equal side is 'a' units and that of the third side is 'b' units, then its area will be

• 
•  square units.
•  square units
•  square units

The outer and inner diameter of a circular path be 728 metre and 700 metre respectively. The breadth of the path is

• 7 metre

• 28 metre

• 14 metre

• 14 metre

A piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is 

• 152 cm

• 132 cm

• 168 cm

• 168 cm

If radius of a circle is increased by 5%, then the increase in its area is

• 10.25%

• 10%

• 5.75%

• 5.75%