Find the Missing Side

  • 9th Grade
Reviewed by Cierra Henderson
Cierra Henderson, MBA |
K-12 Expert
Review Board Member
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.
 , MBA
By Thames
T
Thames
Community Contributor
Quizzes Created: 8156 | Total Attempts: 9,588,805
| Attempts: 14 | Questions: 20 | Updated: Jan 19, 2026
Please wait...
Question 1 / 21
🏆 Rank #-- ▾
Score 0/100
1) In a right triangle, angle G = 70°, opposite side = 12, hypotenuse = x. Which equation solves for x?

Explanation

You’re finding a hypotenuse from an opposite side, so match the equation with sine and 12 over x.

Submit
Please wait...
About This Quiz
Find The Missing Side - Quiz

Can you spot the exact equation that solves each triangle? Each problem gives you an angle and sides; your job is to choose the correct trig setup (sin, cos, or tan) before any calculation happens. Try this quiz to build the habit of modeling first, calculating second.

2)
You may optionally provide this to label your report, leaderboard, or certificate.
2) A right triangle has angle S = 27°, opposite side = x, adjacent side = 6. Which equation solves for x?

Explanation

You’re finding an opposite side from an adjacent side, so match the equation with tangent and x over 6.

Submit
3) A right triangle has angle D = 40°, opposite side = x, hypotenuse = 15. Which equation solves for x?

Explanation

You’re finding an opposite side from a hypotenuse, so match the equation with sine and x over 15.

Submit
4) In a right triangle, angle V = 22°, opposite side = x, hypotenuse = 10. Which equation solves for x?

Explanation

You’re finding an opposite side from a hypotenuse, so match the equation with sine and x over 10.

Submit
5) In a right triangle, angle K = 65°, adjacent side = 9, hypotenuse = x. Which equation solves for x?

Explanation

You’re finding a hypotenuse from an adjacent side, so match the equation with cosine and 9 over x.

Submit
6) A right triangle has angle C = 60°, adjacent side = 9, opposite side = x. Which equation solves for x?

Explanation

You’re finding an opposite side from an adjacent side, so match the equation with tangent and x over 9.

Submit
7) In a right triangle, angle E = 25°, adjacent side = 10, hypotenuse = x. Which equation solves for x?

Explanation

You’re finding a hypotenuse from an adjacent side, so match the equation with cosine and 10 over x.

Submit
8) A right triangle has angle F = 35°, opposite side = 8, adjacent side = x. Which equation solves for x?

Explanation

You’re finding an adjacent side from an opposite side, so match the equation with tangent and 8 over x.

Submit
9) A right triangle has angle Q = 33°, opposite side = 9, adjacent side = x. Which equation solves for x?

Explanation

You’re finding an adjacent side from an opposite side, so match the equation with tangent and 9 over x.

Submit
10) In a right triangle, angle T = 47°, opposite side = 14, hypotenuse = x. Which equation solves for x?

Explanation

You’re finding a hypotenuse from an opposite side, so match the equation with sine and 14 over x.

Submit
11) A right triangle has angle U = 36°, adjacent side = 15, hypotenuse = x. Which equation solves for x?

Explanation

You’re finding a hypotenuse from an adjacent side, so match the equation with cosine and 15 over x.

Submit
12) A right triangle has angle J = 50°, opposite side = x, adjacent side = 20. Which equation solves for x?

Explanation

You’re finding an opposite side from an adjacent side, so match the equation with tangent and x over 20.

Submit
13) A right triangle has angle L = 75°, opposite side = 4, hypotenuse = x. Which equation solves for x?

Explanation

You’re finding a hypotenuse from an opposite side, so match the equation with sine and 4 over x.

Submit
14) In a right triangle, angle M = 20°, opposite side = 5, adjacent side = x. Which equation solves for x?

Explanation

You’re finding an adjacent side from an opposite side, so match the equation with tangent and 5 over x.

Submit
15) In a right triangle, angle P = 55°, opposite side = x, hypotenuse = 25. Which equation solves for x?

Explanation

You’re finding an opposite side from a hypotenuse, so match the equation with sine and x over 25.

Submit
16) A right triangle has angle A = 30°, adjacent side = x, hypotenuse = 12. Which equation solves for x?

Explanation

You’re finding an adjacent side from a hypotenuse, so match the equation with cosine and x over 12.

Submit
17) In a right triangle, angle B = 45°, opposite side = 7, hypotenuse = x. Which equation solves for x?

Explanation

You’re finding a hypotenuse from an opposite side, so match the equation with sine and 7 over x.

Submit
18) A right triangle has angle H = 15°, adjacent side = x, hypotenuse = 6. Which equation solves for x?

Explanation

You’re finding an adjacent side from a hypotenuse, so match the equation with cosine and x over 6.

Submit
19) In a right triangle, angle R = 80°, adjacent side = 2, hypotenuse = x. Which equation solves for x?

Explanation

You’re finding a hypotenuse from an adjacent side, so match the equation with cosine and 2 over x.

Submit
20) A right triangle has angle N = 10°, adjacent side = 7, hypotenuse = x. Which equation solves for x?

Explanation

You’re finding a hypotenuse from an adjacent side, so match the equation with cosine and 7 over x.

Submit
×
Saved
Thank you for your feedback!
View My Results
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.
Cancel
  • All
    All (20)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
In a right triangle, angle G = 70°, opposite side = 12, hypotenuse...
A right triangle has angle S = 27°, opposite side = x, adjacent...
A right triangle has angle D = 40°, opposite side = x, hypotenuse...
In a right triangle, angle V = 22°, opposite side = x, hypotenuse...
In a right triangle, angle K = 65°, adjacent side = 9, hypotenuse...
A right triangle has angle C = 60°, adjacent side = 9, opposite...
In a right triangle, angle E = 25°, adjacent side = 10, hypotenuse...
A right triangle has angle F = 35°, opposite side = 8, adjacent...
A right triangle has angle Q = 33°, opposite side = 9, adjacent...
In a right triangle, angle T = 47°, opposite side = 14, hypotenuse...
A right triangle has angle U = 36°, adjacent side = 15, hypotenuse...
A right triangle has angle J = 50°, opposite side = x, adjacent...
A right triangle has angle L = 75°, opposite side = 4, hypotenuse...
In a right triangle, angle M = 20°, opposite side = 5, adjacent...
In a right triangle, angle P = 55°, opposite side = x, hypotenuse...
A right triangle has angle A = 30°, adjacent side = x, hypotenuse...
In a right triangle, angle B = 45°, opposite side = 7, hypotenuse...
A right triangle has angle H = 15°, adjacent side = x, hypotenuse...
In a right triangle, angle R = 80°, adjacent side = 2, hypotenuse...
A right triangle has angle N = 10°, adjacent side = 7, hypotenuse...
play-Mute sad happy unanswered_answer up-hover down-hover success oval cancel Check box square blue
Alert!