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:

  1. The side length of the square ss is determined using the legs aa 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