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Question

The line segment BD = ________ in the given diagram of construction of triangle where the base length is given BC, base angle is given B and the difference of the sides is given.


A
AB + AC
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B
AB - AC
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C
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D
AC - AB
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Solution

The correct option is D AC - AB
For the construction of triangles where the base length is given BC, base angle is given B and the difference of the sides is given as (AC – AB) then the line segment BD is given as AC – AB and the point D lies below the point B but on the same ray BX.

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Construct Triangle When Its Base, Difference of the Other Two Sides and One Base Angle Are Given
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