Using a ruler and a pair of compasses only, construct, a triangle ABC , given $\mathrm{AB}=4 \mathrm{~cm}, \mathrm{BC}=6 \mathrm{~cm}$ and $\angle \mathrm{ABC}=90^{\circ}$. Then construct a circle passing through the points, $\mathrm{A}, \mathrm{B}$ and C and mark its centre as O .
Using ruler and compasses, construct a $\triangle \mathrm{ABC}$, such that $\mathrm{AB}=2.6 \mathrm{~cm}, \mathrm{BC}=4.1 \mathrm{~cm}$ and $\mathrm{AC}=5.1 \mathrm{~cm}$. Draw the circumscribed circle of $\triangle A B C$.
Draw a circle of radius 6 cm. Take a point P, at a distance of 8 cm from its centre. From P, draw two tangents to the circle, which are inclined to each other at an angle of 45°. Measure the length of each tangent.
Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.