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You can use Pythagoras' theorem:

a^2 = c^2 - b^2

Substitute the values in:

a^2 = 2^2 - 1^2

a^2 = 3

Square root it:

a = [tex]\sqrt{3}[/tex]

Therefore, your answer would be option D

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Answer:

1.7

Step-by-step explanation:

As the illustration shows, the hypotenuse of one of the smallest triangles is 2 cm, and the base of this triangle is 1.  Our job is to determine the triangle height marked "?" in the drawing.

We apply the Pythagorean Theorem, obtaining 1² + ?² = 2².

Then ?² = 4 - 1, and ? = +√3.  This corresponds to Answer d:  √3, which is approx. 1.7.

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