Geometry and Trigonometry

SAT right triangles and trigonometry practice questions

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.

Practice right triangles and trigonometry 55 questions, no account needed.

The usual trap

Name the opposite and adjacent sides from the angle the question gives. Working from the other acute angle swaps sine and cosine.

Try three questions

Pick an answer to check it and see why. Practice sets also have grid-ins, where you type the answer.

  1. 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?

  2. 02Question 2

    Medium

    In a right triangle, angles A and B are the two acute angles. If sin A = 0.6, what is cos B?

  3. 03Question 3

    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?

Keep going

Start a set in this skill. Every answer comes with an explanation.

Practice right triangles and trigonometry

55 questions in the bank: 13 Easy, 26 Medium, 16 Hard.

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