IM 8.8.8 Lesson: Finding Unknown Side Lengths

Which one doesn’t belong?
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Label all the hypotenuses with c.
Find the value of x in the figure.
The spiral in the figure is made by starting with a right triangle with both legs measuring one unit each. Then a second right triangle is built with one leg measuring one unit, and the other leg being the hypotenuse of the first triangle. A third right triangle is built on the second triangle’s hypotenuse, again with the other leg measuring one unit, and so on. Find the length, , of the hypotenuse of the last triangle constructed in the figure.
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[code]Code [ctrl+shift+4]
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Insert icons of GeoGebra tools
[bbcode]
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– GeoGebra Classroom Activities, IM 6 – 8 Math

Information: IM 8.8.8 Lesson: Finding Unknown Side Lengths