Question

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 1

square root of 65

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:

`√(65) =√(C^2)`

=

`√(65) =C`

So C equals the square root of 65!

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

Hope this helps! :)

Answer 2

`√(65)`

Explanation:

d = √(5+2)²+(0+4)²

d = √7² + 4²

d = √49+16

d = √65