Math Problem Statement
Solution
Let's solve the problem using the Pythagorean theorem.
The triangle in the image is a right triangle, where:
- Hypotenuse ,
- One leg ,
- The other leg (which we need to find).
The Pythagorean theorem states: Substitute the known values: Now, isolate : Take the square root of both sides:
So, the correct answer is:
Let me know if you have any questions or need further clarification!
Here are 5 follow-up questions to explore the topic further:
- How does the Pythagorean theorem apply to 3D shapes like pyramids or cubes?
- Can the Pythagorean theorem be used for non-right triangles?
- How do you determine which side is the hypotenuse in any right triangle?
- What happens if one of the triangle’s sides is given as a square root value?
- Can the Pythagorean theorem help in real-world problems, such as navigation?
Tip: Always verify which side is the hypotenuse in a right triangle—it’s the longest side and always opposite the right angle.
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Formulas
Pythagorean theorem: a^2 + b^2 = c^2
Theorems
Pythagorean theorem
Suitable Grade Level
Grades 7-9
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