Answer: By using SAS postulate of congruence , we can prove [tex]\triangle{ABD}[/tex] and [tex]\triangle{ACD}[/tex] are congruent.
Step-by-step explanation:
In the given figure we have two triangles [tex]\triangle{ABD}[/tex] and [tex]\triangle{ACD}[/tex] having one common side AD.
Also, [tex]\angle{BAD}\cong\angle{CAD}[/tex] [given]
[tex]\overline{AB}\cong\overline{AC}[/tex] [given]
[tex]\overline{AD}\cong\overline{AD}[/tex] [common]
Hence, by SAS postulate of congruence , we have
[tex]\triangle{ABD}\cong\triangle{ACD}[/tex]
- SAS postulate of congruence says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of other triangle then the two triangles are said to be congruent.
