Construct a quadrilateral ABCD in which AB = 4.5 cm, BC = 3.5 cm, CD = 5 cm, ∠ B = 450 and ∠ C = 150°.
Steps of construction:
1. Draw BC = 3.5 cm.
2. At B, draw BM perpendicular to BC.
3. Construct BB', the bisector of ∠ MBC to get ∠ B'BC = 45° .
4. On BB', mark a point A such that BA = 4.5cm.
5. At C, draw CC' perpendicular to BC.
6. At C, construct an angle C'DC = 60°, to get ∠ C = 150°.
7. Mark a point D on CD' such that CD = 5 cm.
8. Join AD.ABCD is the required quadrilateral.
1. Draw BC = 3.5 cm.
2. At B, draw BM perpendicular to BC.
3. Construct BB', the bisector of ∠ MBC to get ∠ B'BC = 45° .
4. On BB', mark a point A such that BA = 4.5cm.
5. At C, draw CC' perpendicular to BC.
6. At C, construct an angle C'DC = 60°, to get ∠ C = 150°.
7. Mark a point D on CD' such that CD = 5 cm.
8. Join AD.ABCD is the required quadrilateral.
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.