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Question
Construct a triangle of the measures given below.
Solution
Steps of construction:
- Draw the Base:
- Draw PQ = 4.5 cm using a ruler.
- Construct the Right Angle at Q:
- Place the protractor at point Q on PQ.
- Mark a 90∘ angle and draw a perpendicular line from Q.
- Locate Point R:
- Set your compass to measure PR = 11.7 cm.
- Place the compass point at P and draw an arc that intersects the perpendicular line from Q.
- Label the intersection as point R.
- Complete the Triangle:
- Connect R to P and R to Q.
You now have ∆PQR with PQ = 4.5 cm, PR = 11.7 cm, and ∠PQR = 90∘.
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