Free SAT Right triangles and trigonometry practice questionsdigital SAT, 2026 format
The Pythagorean theorem, special right triangles, and sine, cosine, and tangent as side ratios in a right triangle.
Answer each question, then read why the right answer is right and why the tempting one is wrong.
Question 1
In a right triangle, the hypotenuse has length 39, and the sine of one of the acute angles is 5/13. What is the area of the triangle?
Question 2
In triangle ABC, point D lies on side AC between A and C, and segment BD is perpendicular to AC. The measure of angle A is 45 degrees, BD = 12, and BC = 20. What is the area of triangle ABC?
Question 3
In right triangle ABC, angle C is the right angle, AC = 8, and BC = 15. What is the value of sin A?
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