Direct Ratio Identification

Reviewed by Cierra Henderson
Cierra Henderson, MBA |
K-12 Expert
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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Thames
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Quizzes Created: 8157 | Total Attempts: 9,569,759
| Questions: 20 | Updated: Jan 19, 2026
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1) The ratio of opposite to hypotenuse in a right triangle is:
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About This Quiz
Direct Ratio Identification - Quiz

Are you ready to master the basics of sine, cosine, and tangent? In this quiz, you’ll practice identifying the correct trigonometric ratios directly from right triangles. You’ll match opposite, adjacent, and hypotenuse sides to their correct functions and build the foundation for solving real triangle problems. Take this quiz to... see moresharpen your ratio recognition skills!
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2) The ratio of adjacent to hypotenuse in a right triangle is:
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3) The ratio of opposite to adjacent in a right triangle is:
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4) The ratio of hypotenuse to opposite in a right triangle is:
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5) The ratio of hypotenuse to adjacent in a right triangle is:
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6) In a triangle with angle A = 30°, side opposite A = 5, and hypotenuse = 10, which is the correct ratio?
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7) In a triangle, angle B = 60°, side adjacent to B = 8, hypotenuse = 16. Which is correct?
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8) Angle C = 45°, opposite side = 7, adjacent side = 7. Which is correct?
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9) In a right triangle, if the side adjacent to the angle is 5 and the opposite side is 12, then:
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10) In a right triangle, if the side opposite an angle is 40 and the adjacent side is 9, then:
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11) In a right triangle, if opposite = 8 and adjacent = 15, which trigonometric ratio equals 8/15?
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12) In a right triangle, if opposite = 9 and hypotenuse = 41, which trigonometric ratio equals 41/9?
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13) In a right triangle, if opposite = 5 and hypotenuse = 13, which trigonometric ratio equals 12/13?
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14) The ratio of adjacent to opposite in a right triangle is:
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15) In a triangle with angle θ = 37°, adjacent side = x, hypotenuse = 14, which is correct?
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16) In a triangle with angle θ = 53°, opposite side = 12, hypotenuse = 13, which is correct?
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17) In a triangle with angle θ = 45°, adjacent side = 5, hypotenuse = 5√2, which is correct?
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18) If opposite = 7 and adjacent = 24 in a right triangle, which ratio is correct?
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19) If adjacent = 15 and hypotenuse = 17, which ratio is correct?
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20) If opposite = 9 and hypotenuse = 41, which ratio is correct?
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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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The ratio of opposite to hypotenuse in a right triangle is:
The ratio of adjacent to hypotenuse in a right triangle is:
The ratio of opposite to adjacent in a right triangle is:
The ratio of hypotenuse to opposite in a right triangle is:
The ratio of hypotenuse to adjacent in a right triangle is:
In a triangle with angle A = 30°, side opposite A = 5, and...
In a triangle, angle B = 60°, side adjacent to B = 8, hypotenuse =...
Angle C = 45°, opposite side = 7, adjacent side = 7. Which is...
In a right triangle, if the side adjacent to the angle is 5 and the...
In a right triangle, if the side opposite an angle is 40 and the...
In a right triangle, if opposite = 8 and adjacent = 15, which...
In a right triangle, if opposite = 9 and hypotenuse = 41, which...
In a right triangle, if opposite = 5 and hypotenuse = 13, which...
The ratio of adjacent to opposite in a right triangle is:
In a triangle with angle θ = 37°, adjacent side = x, hypotenuse =...
In a triangle with angle θ = 53°, opposite side = 12, hypotenuse =...
In a triangle with angle θ = 45°, adjacent side = 5, hypotenuse =...
If opposite = 7 and adjacent = 24 in a right triangle, which ratio is...
If adjacent = 15 and hypotenuse = 17, which ratio is correct?
If opposite = 9 and hypotenuse = 41, which ratio is correct?
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