Prove that the midpoints of the sides of an isosceles triangle are also the vertices of an isosceles triangle.

univerkov | February 13, 2021 | education

Let in the triangle ABC AB = BC; AA1 = A1B; BB1 = B1C; CC1 = C1A, A1B1 = 1/2 * AC; B1C1 = 1/2 * AB; A1C1 = 1 / * BC, and therefore B1C1 = A1C1, as halves of equal sides of triangle ABC, AB = BC, and triangle A1B1C1 is isosceles.

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