Question 1
The lengths in inches of the three sides of each of four triangles $\mathrm{I},$ $\mathrm{II},$ $\mathrm{III},$ and $\mathrm{IV}$ are as follows: $$
\begin{aligned} \mathrm{I}\quad&3,4,5\\ \mathrm{II}\quad&4,7\frac12,8\frac12\\ \mathrm{III}\quad&7,24,25\\ \mathrm{IV}\quad&3\frac12,4\frac12,5\frac12 \end{aligned}
$$ Of these four given triangles, the only right triangles are:
\begin{aligned} \mathrm{I}\quad&3,4,5\\ \mathrm{II}\quad&4,7\frac12,8\frac12\\ \mathrm{III}\quad&7,24,25\\ \mathrm{IV}\quad&3\frac12,4\frac12,5\frac12 \end{aligned}
$$ Of these four given triangles, the only right triangles are: