Respuesta :

Answer:

12.21 m

Step-by-step explanation:

Remember Pathagorean Theorem states that [tex]a^{2} + b^{2} = c^{2}[/tex]

Whats important to know is that c is always the hypotenuse, so in this case the unknown.

a = 7

b = 10

c = ?

Plug in these values for the equation above:

[tex]7^{2} + 10^{2} = c^{2}[/tex]

Simplify:

49 + 100 = [tex]c^{2}[/tex]

149 = [tex]c^{2}[/tex]

Cancel out the power by taking the square root of both sides:

[tex]\sqrt{149} = \sqrt{c^{2}}[/tex]

c = 12.21 m

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