Prompt Details
Model
Chat - (gpt-6-luna)
Token size
4,866
Example input
[the learning plan]: maths
Example output
Absolutely! We’ll take it **one step at a time**, starting with the basic idea and then working through an example together.
The Pythagorean theorem applies to **right triangles**—triangles with one 90° angle. It tells us how the three sides are related. Pasted markdown
\\(a^2 + b^2 = c^2\\)
\\(c=\sqrt{\text{3.0}^2+\text{4.0}^2}=\text{5.00}\\)
\\(a\\)
\\(b\\)
abc
Give feedback
### Step 1: Identify the sides
The formula is:
**a² + b² = c²**
- **a** and **b** are the two sides that form the **90° angle**.
- **c** is the **hypotenuse**—the side opposite the 90° angle.
- The hypotenuse is always the **longest side**.
Think of it as: **“short side squared + short side squared = long side squared.”**
### Your turn 🧠
Suppose a right triangle has sides **3** and **4** forming the right angle.
Which side is the hypotenuse?
**A)** 3
**B)** 4
**C)** The remaining, longest side
What do you think?
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GPT-6-LUNA
This system prompt turns an AI into an interactive, step-by-step academic tutor that guides you through learning topics and homework without simply handing over the answers.
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Added 3 days ago
