Pythagorean Shell

Directions: Find the length of side x in the diagram below


What patterns do you see?


x is equal to √13

Source: Dylan Kane

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  1. Hi,
    I am unsure that this is an “Open Middle” problem. Doesn’t it just have one correct method working through the triangles until you reach x?

  2. Wandeka Alfred Herbart

    My problem about how to write an expression for the area and perimeter of a triangle with opposite side ( x + 15 ) cm, adjacent side 1 12 cm and hypotenuse ( 2x + 80 ) cm has not been solved. Why?

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