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Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

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Solving Triangles

Concept Quizzes

Triangle Solving Warmup
Lengths in Right Triangles
Sine Rule
Sine Rule - Ambiguous Case
Cosine Rule
Extended Sine Rule
Bearing Word Problems
Problem Solving

Challenge Quizzes

Level 2
Level 3
Level 4

Triangle Solving Warmup

What is \( x? \)

\[ 4 \cdot \cos(32^\circ)\] \[ 4 \cdot \sin(32^\circ)\] \[ \frac{4}{\cos(32^\circ)}\] \[ \frac{4}{\sin(32^\circ)}\]

Show explanation

by Brilliant Staff

What is \( x \)?

\[ 5 \cdot \sin(62^\circ)\] \[ \frac{5}{\sin(62^\circ)}\] \[ 5 \cdot \cos(62^\circ)\] \[ \frac{5}{\cos(62^\circ)}\]

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by Brilliant Staff

Which of these is equivalent to \( \cos(a) \)?

\( \cos(b)\) \( \sin(b)\) \( \csc(b)\) \( \tan(b)\)

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by Brilliant Staff

What is the length of \( \overline{AB}? \) (marked in red)

\[ \frac{24 \cdot \sin 18^\circ}{\tan(57^\circ)}\] \[ \frac{12 \cdot \cos 57^\circ}{\tan(18^\circ)}\] \[ 24 \cdot \sin 18^\circ \cdot \tan(57^\circ)\] \[ 12 \cdot \sin 57^\circ \cdot \tan(18^\circ)\]

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by Brilliant Staff

What is \( \theta \) in radians?

\[ \frac{\pi}{6}\] \[ \frac{\pi}{4}\] \[ \frac{\pi}{8}\] \[ \frac{\pi}{3}\]

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by Brilliant Staff

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