Find the Missing Side

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| Questions: 20
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1) 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
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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.

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2) 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
3) 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
4) 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
5) 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
6) 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
7) 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
8) 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
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 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
11) 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
12) 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
13) 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
14) 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
15) 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
16) 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
17) 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
18) 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
19) 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
20) 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
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  • Oct 12, 2025
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  • Sep 29, 2025
    Quiz Created by
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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 C = 60°, adjacent side = 9, opposite...
A right triangle has angle D = 40°, opposite side = x, hypotenuse...
In a right triangle, angle E = 25°, adjacent side = 10, hypotenuse...
A right triangle has angle F = 35°, opposite side = 8, adjacent...
In a right triangle, angle G = 70°, opposite side = 12, hypotenuse...
A right triangle has angle H = 15°, adjacent side = x, hypotenuse...
A right triangle has angle Q = 33°, opposite side = 9, adjacent...
In a right triangle, angle R = 80°, adjacent side = 2, hypotenuse...
A right triangle has angle S = 27°, opposite side = x, adjacent...
In a right triangle, angle T = 47°, opposite side = 14, hypotenuse...
A right triangle has angle U = 36°, adjacent side = 15, hypotenuse...
In a right triangle, angle V = 22°, opposite side = x, hypotenuse...
A right triangle has angle J = 50°, opposite side = x, adjacent...
In a right triangle, angle K = 65°, adjacent side = 9, hypotenuse...
A right triangle has angle L = 75°, opposite side = 4, hypotenuse...
In a right triangle, angle M = 20°, opposite side = 5, adjacent...
A right triangle has angle N = 10°, adjacent side = 7, hypotenuse...
In a right triangle, angle P = 55°, opposite side = x, hypotenuse...
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