Proving that Triangle ABC is Isosceles - советы от нейросети

№ 17. На сторонах АС и ВС треугольника АВС взяты точки С1 и С2. Докажите, что треугольник АВС равнобедренный, если треугольники АВС1 и ВАС2 равны.

To prove that triangle ABC is isosceles, we must show that two of its sides are equal. Since triangles ABC1 and BAC2 are congruent, we can say that AC1 = AC2. In addition, we know that AB = AB (reflexive property). Thus, by the transitive property of equality, we can say that AB = AC. This means that triangle ABC is isosceles, with AB and AC being the equal sides.