a.
Construct A ABC, where AC = 3.5 cm, BC = 4cm and ZABC = 45°.
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*Answer:
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See the attachment given above
*Steps of construction:
- Draw base BC of length 8 cm.
- Now let's draw Angle B = 45°
- Let the ray be BX.
- Open the compass to length AB - AC = 3.5cm
Note: Since AB - AC = 3.5 cm is positive
So, BD will be above line BC .
5. From point B as the centre, cut an arc on Ray BX .
6. Let the arc intersect BX at D.
7. Join CD.
8. Now we will draw perpendicular bisector BD.
9. Mark point A where perpendicular bisector intersects B.
10. Join AC .
Hence ∆ ABC is a required triangle.
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