From point M, which lies outside the circle, tangents MB and MA are drawn to the circle. Prove that MB = MA

From point M, which lies outside the circle, tangents MB and MA are drawn to the circle. Prove that MB = MA, where A and B are points of contact

Let’s draw from the point O (the center of the circle) 2 radii to points A and B, and a segment to the point M. Since the radius drawn to the point of tangency is perpendicular to the tangent => triangles OAM and OBM are rectangular. Consider triangles ОАМ and ОВМ ОМ = ОМ (General) ОА = ОВ (Radii) => (KK) => triangles ОАМ and ОВМ are congruent => MA = MB.