Question

Construct a triangle ABC, given AB = 6 cm, AC = 7 cm and $\angle C={30}^{\circ }$. Draw the circumcircle of the triangle. Measure its radius.

• A. 6.8 cm
• B. 7.8 cm
• C. 5.6 cm
• D. 4.8 cm

Answer 1

The correct option is A 6.8 cm

We have AB=6 cm ,AC=7 cm and $\angle c={30}^0$

Step 1_ we draw line AC=7 cm

Step 2_ construct $\angle C={30}^0$ at point C

Step 3_ Take ab = 6 cm in compass cut the side from C to B

Step 4_ Join AB

Step 5_ Take the perpendicular bisector of A

Step 6_ Now draw the perpendicular bisector of B and C

Step 7_ Point out all perpendicular bisector meet at point O

step 8_ With help of compass at point O with radius OA a circle passes through B and C