Question

1. name the right triangles that are similar to $\triangle qrs$.

Explanation:

In a right triangle, when an altitude is drawn from the right angle to the hypotenuse, the two smaller right triangles formed are similar to the original triangle and to each other. For $\triangle QRS$ (right-angled at $S$), the altitude $ST$ creates $\triangle QTS$ and $\triangle STR$, both similar to $\triangle QRS$ by AA (Angle-Angle) similarity (shared angles and right angles).

Answer:

$\triangle QTS$ and $\triangle STR$