Question

use the right triangle abc to find the length of the line segment between point a and point b. now, find the exact length of the hypotenuse, c. thats the length of the line segment between point a and point b. use square root notation to write the exact value of c. you can solve below or solve on paper and then enter your answer on zearn. a(7, 3), b(-2, -4), c(7, -4)
$a^2 + b^2 = c^2$
$7^2 + 9^2 = c^2$
$c = \square$

Explanation:

Step1: Calculate \(7^2\) and \(9^2\)

\(7^2 = 49\), \(9^2 = 81\)

Step2: Sum the results

\(49 + 81 = 130\), so \(c^2 = 130\)

Step3: Take the square root

To find \(c\), take the square root of both sides: \(c = \sqrt{130}\)

Answer:

\(\sqrt{130}\)