Math Problem Statement
Solution
To find the length of the missing leg () of the right triangle in the image, we can use the Pythagorean Theorem:
Where:
- is the hypotenuse (),
- is the given leg (),
- is the missing leg.
Steps:
-
Substitute the known values into the formula:
-
Simplify the squares:
-
Solve for :
-
Take the square root of both sides:
Final Answer:
The length of the missing leg () is 12 meters.
Would you like more details or help with any other aspect?
Here are 5 related questions to explore further:
- What is the general form of the Pythagorean Theorem?
- How can the Pythagorean Theorem be applied in 3D geometry?
- What are the properties of right triangles?
- How do you calculate the hypotenuse if both legs are known?
- Can the Pythagorean Theorem be used to find distances in coordinate geometry?
Tip: Always double-check your calculations, especially when squaring and taking square roots!
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Pythagorean Theorem
Formulas
c^2 = a^2 + b^2
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 7-10
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