SAT Math · Geometry and Trigonometry
Right triangles and trigonometry practice questions
Each free question on this page comes with its answer and a full explanation, and each one is marked easy, medium or hard.
- Question 22 · easyA right triangle has legs of length 9 and 12. What is the length of the hypotenuse?
- Question 43 · hardA right triangle has legs of length 6 and 8 and a hypotenuse of length 10. What is the length of the altitude drawn from the…
- Question 103 · easyIn a right triangle, angle A is one of the acute angles. The side opposite angle A has length 5, and the hypotenuse has length…
- Question 183 · easyIn a 30-60-90 triangle, the side opposite the 30° angle has length 6. What is the length of the hypotenuse?
- Question 184 · easyIn a 45-45-90 triangle, each leg has length 7. What is the length of the hypotenuse? (Enter your answer as a coefficient of…
- Question 204 · mediumTwo right triangles are similar, with corresponding angle A in each triangle. In the smaller triangle, (A) = 3/5. What is (A) in…
- Question 222 · mediumA person standing 50 feet from the base of a tower observes the top of the tower at an angle of elevation of 40°. To the nearest…
- Question 223 · mediumIn a right triangle, one acute angle measures 35°. If (35°) = (x°), what is the value of x?
- Question 224 · easyPoints A(0,0) and B(8,6) are graphed in the coordinate plane. What is the distance from A to B?
- Question 242 · hardIn a right triangle, the side opposite an acute angle has length x, and the hypotenuse has length x + 7. If the sine of that…
- Question 283 · easyA right triangle has legs of length 5 and 12. What is the length of the hypotenuse?
- Question 320 · easyA right triangle has legs of length 8 and 15. What is the length of the hypotenuse?