Chhattisgarh Board Solutions for Exercise 6: Exercise – 3

Two line segments $\mathrm{AB}=\mathrm{a}$ and $\mathrm{RS}=\mathrm{b}$ are given. Now, draw a rectangle of side $a$ and $b$.

Two line segments $\mathrm{AB}=\mathrm{a}$ and $\mathrm{RS}=\mathrm{b}$ are given. Now, draw a square of perimeter $4a$.

Two line segments $\mathrm{AB}=\mathrm{a}$ and $\mathrm{RS}=\mathrm{b}$ are given. Now, draw a square of perimeter $4b$.

Construct Cyclic Quadrilateral ABCD, where AB = 4 cm, BC = 5 cm, AC = 6 cm and AD = 3 cm.

Construct a circumcircle of a right triangle. Find the value of the constructed circle.

Construct an incircle on a right angle triangle. Find the value of the radius of the constructed circle. 

Construct an incircle and a circumcircle on an equilateral triangle, now calculate the incircle and circumcircle. Are both of them located at the same point?

Take three non-collinear points and construct a circle which pass through them.