Construct `/_\ `PEN with PE = 4 cm, EN = 5 cm and NP = 3 cm. If you draw circles instead of arcs how many points of intersection do you get? How many triangles with given measurements are possible? Is this true in case of every triangle?

Construct /_\ ABC in which AB = 4.5 cm, AC = 4.5 cm and /_B= 50^@ . Check whether you get two triangles.

Construct /_\ XYZ such that XY = 4.5 cm, XZ = 3.5 cm and /_Y = 70^@ . Check whether you get two triangles.

Write the step of construction for drawing an equilateral triangle with side 4.5 cm

Draw a circle with any radius . Draw four tangents at different points . How many tangents can you draw to this circle ?

How many tangents you can draw to circle from a point away from it.

Sushant prepared a problem. Construct /_\ XYZ in which XY =2 cm , YZ = 8 cm and XZ = 4 cm. He also drew the rough sketch as shown is figure (i).Reading the problem, Srija told Sushant that it would not be possible to draw the triangle with the given measurements. However, Sushant started to draw the diagram as shown in figure (ii). Check whether Sushant can draw the triangle. If not why? Discuss with your friends. What property of triangles supports Srija's idea?

How many different rectangles can you make with a 24cm long string with integral sides and what are the sides of those rectangles in cm?

How many different rectangles can you make with a 24 cm long string with integral sides and what are the sides of those rectangles in cm?

Can you construct a triangle ABC with BC = 6 cm, angleB = 60^@ and AB + AC = 5 cm? If not, give reasons.