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Answer:
Lake to House= ~4.92. Total Length= 11.42 miles
Step-by-step explanation: Lets assume that it is a right triangle .
Your house being the 90 degree angle and the path from the lake to your house being the hypotenuse.
Then to find the lenght you did Pythagorean theorem:
a^2 + b^2 = c^2
a=2mi
b=4.5
(2 * 2) + (4.5 * 4.5) = c^2
24.25= c^2
[tex]\sqrt{24.25}[/tex] = [tex]\sqrt{c^{2} }[/tex]
c = ~4.92
~ means around
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