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To construct a triangle, given its base,...

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

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Draw a base `BC`

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

Draw a perpendicular bisector of `CD`.
Mark point `A` where perpendicular bisector intersects `BD`. Join `AC`.
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