Question

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

Step1: Write the Pythagorean theorem formula

$$a^{2}+b^{2}=c^{2}$$
Let \(a = z\), \(b = 8\), \(c = 10\).

Step2: Substitute the values into the formula

$$z^{2}+8^{2}=10^{2}$$
$$z^{2}+64 = 100$$

Step3: Solve for \(z^{2}\)

$$z^{2}=100 - 64$$
$$z^{2}=36$$

Step4: Find \(z\)

$$z=\sqrt{36}$$
$$z = 6$$

Answer:

6