Construct an equilateral `triangleABC` in which AB=BC=CA=4cm. Write the steps of construction.

Draw an equilateral trianglePQR with perimeter 18cm. Write the steps of constrcutions.

The side BC of an equilateral triangle DABC is parallel to X-axis. Find the slopes of the lines along sides BC, CA and AB.

Draw a line segment of length 6.5 cm and divide it in the ratio 3:4. Measure the two parts and write the steps of construction.

Construct an isosceles triangle whose base in 10 cm and altitude is 4 cm. Then, construct another triangle similar to it whose sides are (6)/(5) times the corresponding sides of the first triangle.

Construct a circumcircle of the triangle ABC where AB = 5cm, angleB = 75^@ and BC = 7cm

DeltaABC is an equilateral triangle. D, E and F are the midpoints of AB, BC and CA respectively. If AB = 8 cm, the perimeter of A DEF is ………. cm.

In an equilateral triangle ABC, D is a point on side BC such that BD= (1)/(3)BC . Prove that 9AD^(2)= 7AB^(2) .

Write definition of constructive intereference.

A paper is in the form of a rectangle ABCD in which AB = 18 cm and BC = 14 cm. A semicircle with BC as diameter is cut off. Find the area of remaining paper.

Draw a right trianlge in which the side (other than hypotenuse) are of length 4 cm and 3 cm. Then construct another triangle whose sides are 5/3 times the corresponding sides of the given triangle.