Question

prove that two equilateral triangles having one pair of corresponding sides are congruent​

Answer 1

Step by step explanation

Let the triangles be ABC and PQR..

and AB= PQ

Now, since they are equilateral triangle,

AB=BC=CA

also,PQ=QR=RP

but, AB=PQ...

Hence, in triangle ABC and PQR,

AB=PQ

BC=QR

CA=RP

therefore, by (SSS) congruence,

triangle ABC congruent to triangle PQR