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

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 8\), \(b = 15\), and \(c=z\).

Step2: Substitute the values into the formula

$$8^{2}+15^{2}=z^{2}$$
Calculate \(8^{2}=64\) and \(15^{2}=225\). Then \(64 + 225=z^{2}\), so \(z^{2}=289\).

Step3: Solve for \(z\)

Take the square root of both sides: \(z=\sqrt{289}\). Since \(17\times17 = 289\), \(z = 17\).

Answer:

17