Question

What is true about △ABC? Select three options

AB ⊥ AC
The triangle is a right triangle.
The triangle is an isosceles triangle.
The triangle is an equilateral triangle.
BC ∥ AC

Answer 1

I don't see the diagram or any numbers — I need the picture or a description (coordinates or angle measures) to answer which three are true. Please upload the figure or tell me the side lengths/angles.

Meanwhile, some quick logical facts that may help you decide from the diagram:

- "AB ⟂ AC" means angle A = 90°. If true, then "The triangle is a right triangle" is also true (those two are equivalent here).
- "The triangle is a right triangle" means exactly one of the triangle's angles is 90° (or at least one is 90°).
- "The triangle is an isosceles triangle" means two sides (or two base angles) are equal.
- "The triangle is an equilateral triangle" means all three sides equal; if equilateral then it is also isosceles, but it cannot be a right triangle.
- "BC ∥ AC" is impossible for a nondegenerate triangle because BC and AC meet at C; they cannot be parallel unless the triangle is degenerate (B lies on AC).

If you upload the diagram or give coordinates/angles, I'll pick the three correct options.