Given a right triangle with sides $a$, $b$, and hypotenuse $c$, and angle $\theta$ opposite side $a$, which of the following correctly expresses $\sin \theta$ in terms of the triangle's sides?

In a right triangle, the radius of a circle is $8$ cm and the measure of the central angle $\angle LOM$ is $60°$. What is the approximate length of minor arc $LM$? Round to the nearest tenth of a centimeter.

Given a right triangle with angle $A$ and sides $a$ (opposite), $b$ (adjacent), and $c$ (hypotenuse), which of the following expressions can be used to find the measure of angle $A$? Select one correct option.

Given that lines $b$ and $c$ are parallel and angle $6$ is formed by a transversal intersecting these lines, what is the measure of angle $6$?

If $\mathrm{angle}2$ is congruent to $\mathrm{angle}6$ in two right triangles, which of the following statements is true about the ratios of their corresponding sides?

In a right triangle, if one leg measures $4$ ft and the hypotenuse measures $8$ ft, what is the length of the other leg $r$?

Given points $a$ and $b$ on the coordinate plane, which choice of coordinates for points $a^{\text{'}}$ and $b^{\text{'}}$ would help prove that lines $ab$ and $a^{\text{'}}{b}^{\text{'}}$ are perpendicular?

In a right triangle, if the length of the adjacent side to angle $\theta$ is $12\mathrm{cm}$ and the length of the hypotenuse is $13\mathrm{cm}$, what is the value of $\cos \left(\theta \right)$?

Given a right triangle where one of the acute angles is $x$ and the other acute angle is $y$, if $x=13°$, what is the measure of angle $y$?