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The remaining shortest side of the right triangle is \( -3\sqrt{3} \). However, since the length of a side cannot be negative, the correct positive value is \( 3\sqrt{3} \), which corresponds to option **c**.

Do you need more details or have any questions?

Here are five related questions to expand the topic:
1. How do you apply the Pythagorean theorem to solve for the sides of a right triangle?
2. What happens if both legs of the right triangle are equal?
3. Can the lengths of a triangle's sides ever be negative?
4. How does the Pythagorean theorem change in non-Euclidean geometry?
5. What other methods can you use to find missing sides in triangles besides the Pythagorean theorem?

**Tip**: Always check if the sides of the triangle you're calculating make sense in the context of the problem—lengths must be positive.

Given a right triangle with the longer two sides of 12 and 3√13, find the remaining shortest side.

Learn how to find the shortest side of a right triangle when the longer two sides are given as 12 and 3√13. This problem involves using the Pythagorean theorem to determine the missing side. Suitable for students in Grades 8-10.

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