Use ruler and compass for the following construction. Construct a ΔABC, where AB = 6 cm, AC = 4.5 cm and &ang;BAC = 120°. Construct a circle circumscribing the ΔABC. Measure and write down the length of the radius of the circle.

Construct triangle ΔABC such that AB = 6 cm, AC = 4.5 cm, and &ang;BAC = 120°. Draw the perpendicular bisectors of sides AB and AC so that they intersect at point O. With O as the centre and OC as the radius, draw a circle. The required circle passes through points A, B, and C. The radius OC is 5 cm.

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Use ruler and compass for the following construction. Construct a ΔABC, where AB = 6 cm, AC = 4.5 cm and ∠BAC = 120°. Construct a circle circumscribing the ΔABC. Measure and write down - Mathematics

Question

Use ruler and compass for the following construction. Construct a ΔABC, where AB = 6 cm, AC = 4.5 cm and ∠BAC = 120°. Construct a circle circumscribing the ΔABC. Measure and write down the length of the radius of the circle.

Sum

Solution

Construct triangle ΔABC such that AB = 6 cm, AC = 4.5 cm, and ∠BAC = 120°.
Draw the perpendicular bisectors of sides AB and AC so that they intersect at point O.
With O as the centre and OC as the radius, draw a circle.
The required circle passes through points A, B, and C. The radius OC is 5 cm.