#### Construct a triangle with sides 3 cm, 4 cm and 5 cm. Draw its circumcircle and measure its radius.

**Solution:**

#### Using a ruler and compasses only:

(i) Construe a triangle ABC with the following data:

Base AB = 6 cm, AC = 5.2 cm and ∠CAB = 60°.

(ii) In the same diagram, draw a circle which passes through the points A, B and C. and mark its centre O.

**Solution:**

**More Solutions:**

- Draw an equilateral triangle of side 5 cm and draw its inscribed circle.
- Triangle ABC with BC = 6.4 cm, CA = 5.8 cm and ∠ ABC = 60°
- Construct a triangle ABC in which BC = 4 cm, ∠ACB = 45°.
- Construct a circle circumscribing the hexagon.
- Draw a circle of radius 3 cm. Mark its centre as C
- Construct a triangle ABC having given c = 6 cm, b = 1 cm and ∠A = 30°.