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Thread: Pentagon, Hexagon

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    Pentagon, Hexagon

    ABCDE is a pentagon in which triangles ABC, AED and CAD are all isosceles, AC = AD and CAD is acute. Interior angles ABC and AED are both right angles. Explain how you know that four of these such pentagons will fit together to form a hexagon.

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    Quote Originally Posted by X1337 View Post
    ABCDE is a pentagon in which triangles ABC, AED and CAD are all isosceles, AC = AD and CAD is acute. Interior angles ABC and AED are both right angles. Explain how you know that four of these such pentagons will fit together to form a hexagon.
    Here's a picture to show how the four pentagons fit together. Now it's up to you to show that the angles at C and D add up to a complete revolution.
    Attached Thumbnails Attached Thumbnails Pentagon, Hexagon-pent-hex.jpg  
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