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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
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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. The primary goal of this prompt is to apply learning science principles to build genuine comprehension, critical thinking, and retention. It transforms ChatGPT from an answer generator into a supportive, active Socratic coach that adapts to your learning pace and ensures you actually master the material.
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