Question

use the pythagorean theorem to find z.
draw
6
10
z
show your work here
hint: to add the square root symbol (√□), type
oot\

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + b^2 = c^2$$
Here, \(a = 6\), \(c = 10\), and \(b=z\). So, \(6^2+z^2 = 10^2\).

Step2: Simplify the equation

\(36+z^2=100\).
Subtract 36 from both sides: \(z^2=100 - 36\).
\(z^2 = 64\).

Step3: Solve for \(z\)

Take the square root of both sides. Since \(z\) represents a length (non - negative), \(z=\sqrt{64}\).
\(z = 8\).

Answer:

8