2. Trigonometric Functions on Right Triangles

In a right triangle, one leg measures $8yd$ and the hypotenuse measures $64yd$. What is the length of the other leg?

Given a right triangle where $tv$ = $24$ and $xz$ = $13$, what is the value of $vw-yz$?

Given a right triangle with one leg measuring $5$ units and the hypotenuse measuring $8.6$ units, which of the following is the length of the unknown side rounded to the nearest whole number?

In the right triangle shown, the length of $a$ is $6$ units and the length of $b$ is $8$ units. What is the length of the hypotenuse $c$?

In a right triangle $ABC$ with $A$ as the right angle and the triangle is isosceles, what is the length of each leg if the hypotenuse is $16$ units?

Given a right triangle where one of the acute angles $x$ has a measure of $51°$, how many distinct triangles (up to similarity) can be formed?

A right triangle with an angle of $31°$ has a hypotenuse of $10$. Calculate the side of the triangle opposite to the $31°$ angle (y), and the side adjacent to the $31°$ angle (x). Round your answer to 3 decimal places.

If the vertex angle of an isosceles triangle is $110°$, what is the measure of each base angle?

In a right triangle, one leg measures $8\mathrm{cm}$ and the hypotenuse measures $16\mathrm{cm}$. What is the length of the other leg?

In a right triangle, one leg has length $6$, the other leg is labeled $x$, and the hypotenuse has length $10$. What is the value of $x$?

If a right triangle has one angle measuring $30°$, what is the measure of the other non-right angle?

Given a right triangle where one leg has length $6$, the other leg has length $8$, and the hypotenuse is $x$, what is the value of $x$?

A right triangle has a hypotenuse of length $10$ units and one leg of length $6$ units. What is the length of the other leg of the triangle?

Given a right triangle with one leg of length $5$ and hypotenuse of length $13$, what is the approximate length of the other leg?

In a right triangle, one leg has length $6$ and the hypotenuse has length $10$. Find the length of the other leg $x$ in simplest radical form with a rational denominator.