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Question

Pavan asked Preeti to draw a triangle. He gave following data

1.the base BC

2.a base angle, say B

3.The difference of other two sides AB - AC or AC - AB, Assume, AB > AC

 She was unable to draw the triangle ABC. So as a hint he gave steps of construction but it was not in correct order. He gave following steps

1.Draw the base BC and at point B make an angle say XBC equal to the given angle.

2.Join DC and draw the perpendicular bisector, say PQ of DC.

3.Cut the line segment BD equal to AB - AC from ray BX.

4.Let it intersect BX at a point A. Join AC

Arrange the steps in correct order.



A

1,2,3,4

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B

1,4,3,2

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C

1,4,2,3

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D

1,3,2,4

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Solution

The correct option is A

1,3,2,4


Correct steps of construction

1. Draw the base BC and at point B make an angle say XBC equal to the given angle.

2. Cut the line segment BD equal to AB - AC from ray BX.

3. Join DC and draw the perpendicular bisector, say PQ of DC.

4. Let it intersect BX at a point A. Join AC


Mathematics

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