Math Problem Statement
Solution
The remaining shortest side of the right triangle is . However, since the length of a side cannot be negative, the correct positive value is , which corresponds to option c.
Do you need more details or have any questions?
Here are five related questions to expand the topic:
- How do you apply the Pythagorean theorem to solve for the sides of a right triangle?
- What happens if both legs of the right triangle are equal?
- Can the lengths of a triangle's sides ever be negative?
- How does the Pythagorean theorem change in non-Euclidean geometry?
- 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.
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangle
Square Roots
Formulas
Pythagorean theorem: a² + b² = c²
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 8-10
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