Question

Isosceles triangle ABC has vertices at A(0, 0), B(8,0), and C(x, 12). The value of x could be

Answer 1

Answer: 4

Step-by-step explanation: 4 is correct. Since vertex C is not collinear with A and B, it needs to lie on the line x = 4 to ensure that sides AC and BC are congruent.

Answer 2

we know that the triangle is an isosceles, thus it was twin sides stemming from a common vertex, and the vertex is located half-way of the base made by the twin sides.

Check the picture below.