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Construct a triangle ABC with side lengths AB = 9cm, AC = 5cm and BC = 7cm.

Construct a triangle ABC with side lengths AB = 9cm, AC = 5cm and BC = 7cm. C. 7cm. 5cm. A. B. 9cm. Draw a 9cm line and label the ends A and B. This is the line AB. Set your compass to 5cm and with the point on A draw an arc. Set your compass to 7cm and with the point on B draw an arc.

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Construct a triangle ABC with side lengths AB = 9cm, AC = 5cm and BC = 7cm.

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  1. Construct a triangle ABC with side lengths AB = 9cm, AC = 5cm and BC = 7cm. C 7cm 5cm A B 9cm • Draw a 9cm line and label the ends A and B. This is the line AB. • Set your compass to 5cm and with the point on A draw an arc. • Set your compass to 7cm and with the point on B draw an arc. • Label this point C and join A to C then B to C to get the lines AC and BC.

  2. Construct a triangle PQR with lines PQ = 8cm, QR = 5cm and PQR = 40° R 5cm . 40° P Q 8cm • Draw an 8cm line and label the ends P and Q. This is the line PQ. • Place the centre of the angle measurer on Q with the 0° line pointing to P. • Measure a 40° angle clockwise from 0°. Mark it with a dot. • Draw a 5cm line from Q through the dot. Label the end of this line R. • Join up P and R to complete the triangle.

  3. Construct a triangle PQR with lines PQ = 8cm, PQR = 40° and RPQ = 30° R . . 30° 40° P Q 8cm • Draw an 8cm line and label the ends P and Q. This is the line PQ. • Place the centre of the angle measurer on Q with the 0° line pointing to P. • Measure a 40° angle clockwise from 0°. Mark it with a dot. • Draw a line from Q through the dot. • Place the centre of the angle measurer on P with the 0° line pointing to Q. • Measure a 30° angle anticlockwise from 0°. Complete as with other angle. • Point R is where the two lines meet.

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