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Constructing Triangle PQR with Given Side and Two Angles

This PowerPoint presentation by Carmelo Ellul, Head of the Mathematics Department, guides the construction of triangle PQR with a specified side length of 7 cm and angles 29º and 57º at points P and R respectively. The presentation outlines steps for constructing triangle PQR: drawing a rough sketch, labeling vertices, constructing the base PQ, and using the protractor to accurately create the specified angles at points P and R. Clear visual aids and instructions facilitate understanding of geometric principles in triangle construction.

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Constructing Triangle PQR with Given Side and Two Angles

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Presentation Transcript

  1. A Triangle given a side and 2 angles A powerpoint presentation by Carmelo Ellul Head of Department (Mathematics)

  2. A Triangle given a side and 2 angles Task: Construct a triangle PQR having PQ = 7 cm, RPQ = 29º and PQR = 57º Making a Rough Sketch: • Draw a rough sketch of the triangle. • Label its vertices. (Select the base as the given side) R • Write the length of the given side. • Label the given angles. 57º 29º Q P 7 cm

  3. R 57º 29º Q P 7 cm A Triangle given a side and 2 angles • Construct line PQ = 7 cm long. • At P construct an angle of 29º. • Label the angle. • At R construct an angle of 57º and label the angle. • Label the point of intersection R. R 57º 29º P Q 7 cm

  4. R 57º 29º Q P 7 cm A Triangle given a side and 2 angles • Construct line PQ = 7 cm long. • At P construct an angle of 29º. • Label the angle. • At R construct an angle of 57º and label the angle. • Label the point of intersection R. R RESTART END SHOW 57º 29º P Q 7 cm

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