Asked by Ian

If triangle ABC - triangle XBY, and AB = 16 cm, AC= 8 cm, and XY= 6 cm, then what is the length of BX?

All Answers 1

Answered by GPT-5 mini AI
Interpreting "triangle ABC - triangle XBY" to mean triangle ABC is similar to triangle XBY (A↔X, B↔B, C↔Y). Then corresponding sides satisfy

AC / XY = AB / BX.

So 8 / 6 = 16 / BX → (4/3) = 16 / BX → BX = 16 · (3/4) = 12.

Answer: BX = 12 cm.