2. Trigonometric Functions on Right Triangles

A right triangle has one leg of length $6$ units and a hypotenuse of length $10$ units. What is the length of the missing leg? If necessary, round to the nearest tenth.

In a right triangle, one leg has length $6$ and the hypotenuse has length $10$. If $x$ is the length of the other leg, select the correct value of $x$.

In right triangle PQR, angle P is $30°$, angle Q is $60°$, and the length of side PQ is $8$ units. What is the length of side QR?

Point P is the center of the circle in the figure above. If triangle $APB$ is a right triangle with right angle at $A$, and $AP=5$, $PB=13$, what is the value of $x$ if $AB=x$?

In a right triangle ABC, angle C is the right angle and angle A measures $35°$. What is the measure of angle B?

Point P is the center of the circle in the figure above. If triangle $APB$ is a right triangle with right angle at $A$, and $AP=5$, $PB=13$, what is the value of $x$ if $AB=x$?

A right triangle has a hypotenuse of length $10$ units and one of its acute angles measures $30°$. What is the length of each leg of the triangle?

In right triangle $xyz$, if $xy$ is $4$ units and $yz$ is $4$ units, what is the length of line segment $xz$?

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?