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Heather

Answer: 16.3 units

Step-by-step explanation:

        We will use the Pythagorean theorem to help us solve because this is a right-triangle. a and b are the legs, and c is the hypotenuse. In this case, c is our unknown value.

    Given:

a² + b² = c²

    Substitute:

11² + 12² = c²

    Square:

121 + 144 = c²

    Add:

265 = c²

    Square root both sides of the equation and reflexive property:

c = [tex]\sqrt{265}[/tex]

    Square root:

c = 16.2788

    Round to the nearest tenth:

c ≈ 16.3

Answer:

16.3

Step-by-step explanation:

Use the Pythagorean theorem: a²+b²=c²

Solve this formula for c (the hypotenuse)

[tex]c=\sqrt{a^{2}+b^{2} }[/tex]

then plug in a and b

[tex]c=\sqrt{11^{2} + 12^{2} }[/tex]

[tex]c=\sqrt{121+144}[/tex]

[tex]c=\sqrt{265}[/tex]

Rounded to the nearest 10th you get 16.3

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