During the construction of a triangle given its base, a base angle and the sum of other two sides, which of the triangles formed are congruent?
Construction of a triangle given its base, a base angle and sum of other two sides.
If we take △ AMC and △ AMD,
DM = MC (perpendicular bisector bisects the line DC)
∠ AMC = ∠ AMD = 90∘ (perpendicular bisector)
AM = AM (common side)
△ AMC ≅ △ AMD (By SAS Congruency)