Given right triangle QRS with right angle at S, if $\mathrm{QR}$ is the hypotenuse and $\mathrm{QS}$ is $8$ units long, and angle Q is $30°$, what is the length of $\mathrm{RS}$?

In triangle $RST$, which is a right triangle with right angle at $S$, if $R$ is $30°$ and the length of side $RS$ is $10$, what is the length of side $ST$?

Given two similar right triangles, one with sides $3$, $4$, and $5$, and the other with sides $6$, $x$, and $10$, what is the value of $x$?

Given two similar right triangles, one with sides $3$, $4$, and $5$, and the other with sides $6$, $x$, and $10$, what is the value of $x$?

In right triangle $RST$, angle $R$ is the right angle, $S$ is at the top, and $T$ is at the bottom right. If $RS$ = $6$ units and $RT$ = $8$ units, what is the length of side $TS$?

Which statement proves that triangle $xyz$ is an isosceles right triangle?

In a right triangle $FGH$, if the length of $FH$ is $18$ units and angle $G$ is $30°$, what is the length of side $FG$ opposite angle $H$?

Given an isosceles triangle $ABC$ with angle $B$ equal to $130°$, what is the measure of each of the other two angles?

A right triangle kite has a right angle at vertex N, with side KN adjacent to angle K and side NM adjacent to angle M. If angle K is $30°$ and the hypotenuse KM is $10$ units, what are the lengths of sides KN and NM? KN = $?$ units, NM = $?$ units