Right Triangles And Trigonometry: SAT Practice Questions

69 official Right Triangles And Trigonometry questions (Geometry and Trigonometry) from the SAT Suite Question Bank. Pick any question from the list, or start with Question 1. Every question shows the answer and a full explanation, with step-by-step Desmos solutions available for most questions. It is free, and no account is needed.

Start with Question 1

What does Right Triangles And Trigonometry test on the SAT?

Right Triangle and Trigonometry questions use the Pythagorean theorem, special triangles, similarity, and sine, cosine, or tangent. Correctly labeling sides relative to the chosen angle is essential.

Common question types

Find a side or angle in a right triangle
Use special right-triangle ratios
Apply trigonometry in a contextual or geometric model

Common traps

Labeling opposite and adjacent from the wrong reference angle
Using degree mode incorrectly
Applying the Pythagorean theorem when a trig ratio is needed

Difficulty distribution

Start with the easier questions, then work toward the highest score bands.

Easy: 8
Medium: 19
Hard: 42
Extreme: 0

Start here

FoundationQuestion 52Easy SAT question IntermediateQuestion 21Hard SAT question ChallengeQuestion 69Hard SAT question

How do I improve at Right Triangles And Trigonometry?

1Mark the right angle and the reference angle.
2Label opposite, adjacent, and hypotenuse before choosing a ratio.
3Estimate whether the missing side or angle should be larger or smaller than known values.

Desmos method

Use sin, cos, tan, or inverse trig functions in degree mode. Enter the full equation and solve numerically, then confirm the result fits the triangle's side and angle constraints.

All 69 official questions

In the same order as the list on the left. Each one opens in practice mode.