This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
BC^2 + AC^2$$
Step 1: Identify the formula. The image shows a right-angled triangle , with the right angle at . For a right-angled triangle, the relationship between the lengths of its sides is given by the Pythagorean theorem. Your notes correctly state this rule as: Here, is the hypotenuse (the side opposite the right angle), and and are the legs (the sides adjacent to the right angle).
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Identify the formula. The image shows a right-angled triangle ABC, with the right angle at C.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.