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#### Online Quiz (WorksheetABCD)

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### Grade 7 - Mathematics7.12 Construction of Circumcircle

 Example: Construct the triangle ABC with AB = 5cm, BC = 6cm. and CA = 7cm and draw the circumcircle. Steps for construction: Draw a line segment AB = 5cm. With A as center and radius 7cm, draw an arc. With B as center and radius 6cm, draw another arc that cuts first arc at the point C. Join BC and CA (AC = CA). Draw the perpendicular bisectors of AB, BC and CA. Let them intersect at S. With S as centre and SA (=SB = SC) as radius draw a circle. This circle passes through the three vertices of the triangle A, B and C. This is the circumcircle of the given triangle. Directions: Read the above review points carefully and answer the following questions: Draw the circumcircle of the triangle ABC whose with sides are given by AB = 6 cm, BC = 7 cm and CA = 9 cm. Draw circumcircles of acute, right and obtuse angled triangles. Discuss the position of circumcentre's obtained.