2. Trigonometric Functions on Right Triangles

Given two right cones, one with a base radius of $4$ units and height $x$ units, and another with a base radius of $8$ units and height $12$ units, which value of $x$ would make the two cones similar?

In triangle BDC, which is isosceles, if angle $\angle B$ is given, which other angle is congruent to $\angle B$?

A right triangle has one angle that measures $20°$. What is the measure of the other acute angle?

Given a right triangle where the length of one leg is $x_s=10$ and the length of the other leg is $x_y=24$, what is the length of the hypotenuse $r_y$?

In a right triangle, one leg measures $6$ units, the other leg measures $8$ units, and the hypotenuse is labeled $x$. What is the value of $x$?

In a right triangle, two interior angles each measure $34°$. Which of the following statements is true about this triangle?

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

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?

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?