Math Problem Statement
Solution
The problem in the image is asking to find the length of in a right triangle. Given the dimensions, we can solve this using the Pythagorean theorem.
Problem Recap:
- Triangle is a right triangle.
- The length of side .
- The length of side .
- The length of side .
- The length of side .
Approach:
To find , we can apply the Pythagorean theorem, which states:
Substituting the given values:
Solve for :
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Calculate the squares of the given numbers:
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Substitute these into the equation:
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Solve for :
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Take the square root of both sides:
So, the length of is approximately units.
Do you want further details or have any questions? Here are 5 related questions you might find helpful:
- How does the Pythagorean theorem apply to different types of triangles?
- Can you explain how to calculate the square root without a calculator?
- What are the implications if the triangle isn't a right triangle?
- How would the problem change if you were given the hypotenuse and one leg?
- What are some real-world applications of the Pythagorean theorem?
Tip: Always double-check your work by verifying the calculation steps, especially when working with squared numbers and square roots.
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Pythagorean Theorem
Formulas
Pythagorean Theorem: a^2 + b^2 = c^2
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 8-10
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