Question

use the pythagorean theorem to find z.
draw
8
15
show your work here
hint: to add the square root symbol ($\sqrt{\square}$), type root

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(a\) and \(b\) are legs, \(c\) is hypotenuse. Here, \(a = 8\), \(b = 15\), \(c = z\). So \(8^2 + 15^2 = z^2\).

Step2: Calculate squares

\(8^2 = 64\), \(15^2 = 225\). Then \(64 + 225 = z^2\).

Step3: Sum the values

\(64 + 225 = 289\), so \(z^2 = 289\).

Step4: Take square root

\(z = \sqrt{289} = 17\).

Answer:

17