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PLEASE PLEASE HELP!!!! WILL MARK BRAINLIEST PLEASE

The figure below shows the location of 3 points around a lake. The length of the lake, BC, is also shown.

(Figure is not drawn to scale.)



Which of the following options is closest to the distance (in miles) between points A and B?

3.46
4.24
4.90
5.92

PLEASE PLEASE HELP WILL MARK BRAINLIEST PLEASE The figure below shows the location of 3 points around a lake The length of the lake BC is also shown Figure is n class=

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prestonshelton
Hello!

You can use the Pythagorean Theorem

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

c is the hypotenuse which is the line across from the right angle
a and be are the other legs

Put in the values you know

[tex] a^{2} + 5^{2} = 7^{2} [/tex]

Square the numbers

[tex] a^{2} +25=49[/tex]

Subtract 25 from both sides

[tex] a^{2} = 24[/tex]

Take the square root of both sides

a ≈ 4.90

The answer is C) 4.90

Hope this helps!