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Exercise 11.1 – Constructions & Verifications
- Construct △ABC, verify perpendicular bisectors concurrent:
(i) AB=5cm, BC=6cm, AC=7cm
(ii) AB=7.1cm, ∠B=135°, BC=6.5cm - Construct △LMN, verify medians concurrent:
(i) LM=4.9cm, ∠L=51°, ∠M=38°
(ii) MN=4.8cm, ∠N=30°, LM=8.1cm - Verify angle bisectors concurrent:
(i) AB=4.5cm, ∠A=45°, AC=5.3cm
(ii) AB=6cm, ∠A=150°, ∠B=60° - △DEF: DE=4.8cm, EF=4cm, ∠E=45° – Draw altitudes, find orthocentre.
- Construct triangles, check ambiguous case:
(i) △BCD: BC=5cm, ∠B=62°, CD=4.7cm
(ii) △KLM: LM=6cm, ∠M=42°, LK=5cm
View PDF for diagrams.
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