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Length of a side of a square inscribed in a semicircle

ÀÛ¼ºÀÚ Uploader : Ȳ±Ý¸¶Â÷ ÀÛ¼ºÀÏ Upload Date: 2020-04-11º¯°æÀÏ Update Date: 2023-07-11Á¶È¸¼ö View : 69

Find the side length L of a square inscribed in a semicircle of radius R.

Using the Pythagorean theorem,

R^2 = L^2 + (1/4)L^2

thus,

R^2 = (5/4)L^2

L = R*(4/5)^(1/2)

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L = R*(4/5)^(1/2)
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