Given the graph below, which of the answer choices is closest to the actual distance between point A and point C?
65
33
the square root of 65
the square root of 33

Answer:

[tex]\sqrt{65}[/tex]

Step-by-step explanation:

d = √(5+2)²+(0+4)²

d = √7² + 4²

d = √49+16

d = √65

Answer:

square root of 65

Step-by-step explanation:

So remember, the pythagreons theorm is A^2+B^2=C^2.

A and B are the side lengths, and C is the long, sloped line.

Lets count the side lengths, and plug them into the formula.

Line CB is 4, and counting AB, its 7. So lets plug them in:

4^2+7^2=C^2

Square the values(except for the missing one):

16+49=C^2

=

65=c^2

Now, we need to get C on its own.

To do this, we must get the square root of both sides:

[tex]\sqrt{65} =\sqrt{C^2}[/tex]

=

[tex]\sqrt{65} =C[/tex]

So C equals the square root of 65!

This is C, the third answer down(the square root of 65).

Hope this helps! :)

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