Question

What is the length of segment AC

Answer 1

To find the length of segment AC, we must find the total rise and total run between the two points.

Point C is located at (-5, 5). Point A is located at (3,-1). To find the rise, subtract the y-value of A from the y-value of C:

$5 - (-1) = 6$

The rise of this segment is 6.

To find the run, subtract the x-value of A from the x-value of C:

$3 - (-5) = 8$

The run of this segment is 8.

We can use the Pythagorean Theorem to find the length of this segment. The theorem uses the following formula:

$a^{2} + b^{2} = c^{2}$

The segment represents the hypotenuse, and the rise and run represent the legs of this segment. We know that the two legs' lengths are 6 and 8, so plug them into the equation:

$6^{2} + 8^{2} = c^{2}$
$36 + 64 = c^{2}$
$100 = c^{2}$

Square root both sides to get c by itself:

$\sqrt{100} = 10$
$c = 10$

The length of segment AC is 10.

Answer 2

Answer:

10

Step-by-step explanation:

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