IM 8.8.8 Lesson: Finding Unknown Side Lengths

Which one doesn’t belong?
[list][*][math]3^2+b^2=5^2[/math][/*][*][math]b^2=5^2-3^2[/math][/*][*][math]3^2+5^2=b^2[/math][/*][*][math]3^2+4^2=5^2[/math][/*][/list]
Label all the hypotenuses with c.
Find the value of x in the figure.
[size=150]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.[br][/size][br]Find the length, [math]x[/math], of the hypotenuse of the last triangle constructed in the figure.

IM 8.8.8 Practice: Finding Unknown Side Lengths

Find the exact value of each variable that represents a side length in a right triangle.
A right triangle has side lengths of a, b, and c units. The longest side has a length of c units. Complete each equation to show three relations among a, b, and c.
What is the exact length of each line segment? Explain or show your reasoning. (Each grid square represents 1 square unit.)
What is the exact length of each line segment? Explain or show your reasoning. (Each grid square represents 1 square unit.)
What is the exact length of each line segment? Explain or show your reasoning. (Each grid square represents 1 square unit.)
[size=150]In 2015, there were roughly [math]1\times10^6[/math] high school football players and [math]2\times10^3[/math] professional football players in the United States. About how many times more high school football players are there? Explain how you know.[/size]
Evaluate:
[math](\frac{1}{2})^3[/math]
[math](\frac{1}{2})^{-3}[/math]
[size=150]Here is a scatter plot of weight vs. age for different Dobermans. The model, represented by [math]y=2.45x+1.22[/math], is graphed with the scatter plot. Here, [math]x[/math] represents age in weeks, and [math]y[/math] represents weight in pounds.[br][br][img]data:image/png;base64,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[/img][br][size=100]What does the slope mean in this situation?[/size][/size]
[size=100]Based on this model, how heavy would you expect a newborn Doberman to be?[/size]

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