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Algebra 1

9.5.1 Roots of Squares

Algebra 19.5.1 Roots of Squares
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Warm Up

Here are some squares whose vertices are on a grid.

Three squares are drawn on grid paper. On the left is a square labeled "A" that has a side length of 3 units and is oriented upright. In the center is a smaller square labeled "B." Square B is tilted up one unit showing that its side length lies on the diagonal of a unit square. On the right, another square labeled "C" is also tilted. Here, the side length of C shows that its length lies along a right triangle that is one unit tall and three units long.

Find the area and the side length of each square.

1.

What is the area of Graph A?

2.

What is the side length of Graph A?

3.

What is the area of Graph B?

4.

What is the side length of Graph B?

5.

What is the area of Graph C?

6.

What is the side length of Graph C?

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