01Question 1
Easy
In a 30°-60°-90° right triangle, the side opposite the 30° angle has length 5. What is the length of the hypotenuse?
Geometry and Trigonometry
The Pythagorean theorem, 30-60-90 and 45-45-90 triangles, and sine, cosine, and tangent in right triangles, sometimes with angles given in radians.
Name the opposite and adjacent sides from the angle the question gives. Working from the other acute angle swaps sine and cosine.
Pick an answer to check it and see why. Practice sets also have grid-ins, where you type the answer.
Easy
In a 30°-60°-90° right triangle, the side opposite the 30° angle has length 5. What is the length of the hypotenuse?
Medium
In a right triangle, angles A and B are the two acute angles. If sin A = 0.6, what is cos B?
Hard
In right triangle MNP, angle P is the right angle and MN = 51. If sin M = (3x − 1)/17 and cos N = (2x + 2)/17, where x is a constant, what is the area of triangle MNP?
Start a set in this skill. Every answer comes with an explanation.
55 questions in the bank: 13 Easy, 26 Medium, 16 Hard.