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To construct a triangle given its base, ...

To construct a triangle given its base, a base angle and the difference of the other two sides.

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Draw a base `BC`
Draw `/_B`. Let the ray be `BX`

Open the compass to length `AB-AC`. From point `B` as center, cut an arc on ray `BX`. Let the arc intersect `BX` Let the arc intersect `BX` at `D`. Join `CD`.

We will draw perpendicular bisector intersects `BD`. Join `AC`.

`/_\ABC` is the required triangle.
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