The Sine Rule and Area of a Triangle

Eight exam-style questions on the sine rule (including the ambiguous case) and the area formula ½ ab sin C. Whenever you're stuck, you have four kinds of help, in this order:

🤔 Socratic prompt — a question to get you thinking. 💡 Hint — a piece of method. ✅ Check my answer — try as many times as you like. 👀 Worked solution — the full method, unlocked once you've genuinely tried.

Give angles in degrees to 1 decimal place and lengths/areas to 2 decimal places unless the question says otherwise. The aim isn't speed — it's understanding.

💛 Reflection

Before you close this, take a moment:

Did the sine rule's "side ↔ opposite angle" pairing become automatic, or did you still need to double-check which letter went with which?
When you met the ambiguous case, did you spot it from the data, or only after computing? Either is fine — knowing your habit tells you what to watch for.
If you had to teach one of these questions to a friend, which would you choose, and why?

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The Sine Rule and Area of a Triangle — Practice CompanionPure 1, Trigonometry · Lesson 1

💛 Reflection

The Sine Rule and Area of a Triangle — Practice Companion
Pure 1, Trigonometry · Lesson 1