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Question

The line segment BD = ________ in the given diagram.


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, BC, base angle, B, and the difference of the two other sides, AC - AB is given.​

We create a similar diagram for construction.​

So, the line segment BD = AC - AB and the point D lies below the point B but on the same ray BX. ​


Answer: (D) AC - AB​

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