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Construct a DeltaABC in which AB = 5 cm,...

Construct a `DeltaABC` in which AB = 5 cm, AC + BC = 8 cm and `angleB = 60^(@)`.

Text Solution

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Steps of construction :
1. Draw AB = 5 cm.
2. Construct `angleABP = 60^(@)` and cut BP = 8 cm.
3. Join AP.
4. Draw the perpendicular bisector of AP which intersect BP at C.
5. Join AC.
`therefore DeltaABC` is the required triangle.
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NAGEEN PRAKASHAN ENGLISH-CONSTRUCTIONS-EXERCISE
  1. Construct a DeltaABC in which AB = 5 cm, AC + BC = 8 cm and angleB = 6...

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  2. Construct an angle of 90^(@) at the initial point of a given ray and j...

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  3. Construct the following angles : (i) 60^(@) (ii) 30^(@) (iii) ...

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  4. Construct the following angles : (i) 90^(@) (ii) 45^(@) (iii) ...

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  5. Construct the following angles : (i) 67(1^(@))/(2) (ii) 22(1^(...

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  6. Draw a line 6.5 cm long. Draw its perpendicular bisector.

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  7. Construct a DeltaABC, when AB = 6.0 cm, BC = 8.0 cm, AC = 7.5 cm.

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  8. Construct a DeltaABC, when AB = 3.6 cm, BC = 3.0 cm, angleB = 30^(@).

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  9. Construct a DeltaABC, when AB = 5.2 cm, angleA = 30^(@) and angleB = 7...

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  10. Construct a triangle ABC in which BC =5 cm, angle B = 60^(@) and angle...

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  11. Construct an isosceles DeltaABC in which base BC = 5 cm and side AB = ...

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  12. Construct an isosceles DeltaABC in which base BC = 5 cm and angleB = 6...

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  13. Construct a right angled DeltaABC, right angled at A if hypotenuse BC ...

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  14. Construct an equilateral triangle whose side is 5 cm.

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  15. Construct an equilateral triangle whose altitude is 4 cm.

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  16. Construct a DeltaABC in which AB = 5 cm, BC = AC cm angleA = 60^(@). D...

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  17. Construct a DeltaABC in which AB = 5 cm, angle A = 60^(@) and angleB =...

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  18. Construct a DeltaABC in which BC = 4 cm, angleB = 60^(@) and AB + AC =...

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  19. Construct a DeltaABC in which AB = 5.1 cm, angleB = 40^(@) and BC + AC...

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  20. Construct a DeltaABC in which angleA = 30^(@) and AB = 4.5 cm and AC -...

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  21. Construct a DeltaABC in which BC = 4.8 cm, angleB = 60^(@) and AC - AB...

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