Math Problem Statement
theres a right triangle with hypotenuse 20, and a square inscribed with side 6. what is the perimeter?
Solution
To solve for the perimeter of the square inscribed within the right triangle, let's analyze the problem step-by-step:
Problem Setup:
- The right triangle has a hypotenuse of 20 units.
- A square is inscribed within the right triangle, and the side length of the square is 6 units.
Understanding the Configuration:
The square is inscribed such that one of its sides is parallel to one leg of the triangle. In this case, the problem requires us to determine the perimeter of the square.
Key Concept:
For an inscribed square in a right triangle:
- The side length of the square is determined using the legs and ( b
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Math Problem Analysis
Mathematical Concepts
Geometry
Pythagorean Theorem
Inscribed Square
Formulas
-
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 9-10
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