The variables r and s represent the lengths of the legs of a right triangle, and t represents the length of the hypotenuse. The values of r, s, and t form a Pythagorean triple. Find the unknown value. $r=35, t=37$

Use a calculator to approximate the given value to four decimal places. $\sin 78^{\circ}$

Solve the right triangle. Round decimals to the nearest tenth. Triangle EFD , EF = 20,FD= 21, $\angle F$= 90 $^{\circ}$

Sketch the figure that is described. Find the requested length. Round decimals to the nearest tenth. The perimeter of a square is 36 inches. Find the length of a diagonal.

The variables r and s represent the lengths of the legs of a right triangle, and t represents the length of the hypotenuse. The values of r, s, and t form a Pythagorean triple. Find the unknown value. $s=20, t=101$

Draw vector $\overrightarrow{P Q}$ in a coordinate plane. Write the component form of the vector and find its magnitude. Round decimals to the nearest tenth. $P(2,3), Q(1,-1)$

Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as right, acute, or obtuse. $4,5,5$

Sketch the figure that is described. Find the requested length. Round decimals to the nearest tenth. The side length of an equilateral triangle is 5 centimeters. Find the length of the altitude of the triangle.

Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as right, acute, or obtuse. $10,11,14$

The variables r and s represent the lengths of the legs of a right triangle, and t represents the length of the hypotenuse. The values of r, s, and t form a Pythagorean triple. Find the unknown value. $r=18, t=30$

Use a calculator to approximate the given value to four decimal places. $\tan 2^{\circ}$

Is a triangle with sides of lengths 6,8 , and 12 similar to a triangle with sides of lengths 9,12 , and 18 ? Explain your answer.

Angle A is an acute angle. Use a calculator to approximate the measure of $\angle A$ to the nearest tenth of a degree. $\sin A=0.11$

Find d and f in the right triangle FED , E being right angle and DF= 10 cm , EF = d , DE =f and angle D is 70 degrees