Question

Construct a triangle ABC such that AC=6cm,BC=4.5 and AC=5.5cm. Construct a circumcircle of this triangle ​

Answer 1

Step-by-step explanation:

Steps of Construction

1. Construct a line segment BC=4.5 cm.

2. Taking B as Centre and 6 cm radius construct an arc.

3. Taking C as Centre and 5.5 cm radius construct another arc which intersects the first arc at point A.

4. Now join AB and AC

Therefore, Δ ABC is the required triangle.

5. Construct a perpendicular bisector of AB and AC which intersect each other at the point O.

6. Now join OB, OC and OA.

7. Taking O as Centre and radius OA construct a circle which passes through the points A, B and C.

This is the required circumcircle of Δ ABC.