Question

O is a point in the interior of a square ABCD such that triangle ABC is an equilateral triangle show that triangle ABC is an isosceles triangle​

Answer 1

Step-by-step explanation:

Given:OAB is equilateral triangle. to prove:OCD is an isosceles triangle. construction:from point O, draw line from O to the points A,B,C,D. proof:line AC & BD are 2 diagonals equal. point O bisects all the diagonals. thus,AO=BO=CO=DO...CO is same as DO which proves that, OCD is isosceles.