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Illustrative Math
Grade 8
Let’s find missing side lengths of right triangles.
Illustrative Math Unit 8.8, Lesson 8 (printable worksheets)
The following diagram shows how to find missing side lengths of right triangles.
Which one doesn’t belong?
Label all the hypotenuses with c.
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, x, of the hypotenuse of the last triangle constructed in the figure.
x = √16 = 4
The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics.
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