Question

Prove that two equilatral triangle having one pair of corrosponding Sides equal are congarant

Answer 1

mark the 2triangles as ABC and PQR

given:AB=BC=AC

PQ=QR=PR

TO PROVE:

two equilateral triangle having one pair of corresponding Sides equal

therefore :PQ=AB

PROOF:

in triangle ABC and PQR;

PQ=AB

let us take QR instead of PQand BC instead of AB

so, QR=BC

similarly,

PR=AC

therefore:triangle ABC and PQR are congruent.(by SSS rule)