Two circles of equal radii with centers at points O and O¹ intersect at points A and B. One side of the AOO¹

Two circles of equal radii with centers at points O and O¹ intersect at points A and B. One side of the AOO¹ triangle is 13 cm, the other 6 cm. Determine the distance between the centers of the circles.

Triangle AOO¹ is isosceles, since AO and AO¹ are equal radii of intersected circles. OO¹ is the base of an isosceles triangle, equal to 6 cm, since it cannot be 13 cm, because the length of the base of an isosceles triangle cannot be greater than the sum of the lengths of the lateral sides.