  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  B

1,4,3,2  C

1,4,2,3  D

1,3,2,4  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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