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Constructing Triangle PQR with One Side and Two Angles

In this task, we will construct triangle PQR given one side (PQ = 7 cm) and two angles (∠RPQ = 29º and ∠PQR = 57º). Start by sketching the triangle and labeling its vertices. Choose PQ as the base, measuring it to 7 cm. At point P, construct an angle of 29º, extending a line from P. At point Q, construct an angle of 57º. The intersection of these two lines will give us point R, completing the triangle. Ensure all points and angles are clearly labeled in your final sketch.

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Constructing Triangle PQR with One Side and Two Angles

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  1. A Triangle given a side and 2 angles

  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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