Question

use the pythagorean theorem to find the missing leg of the triangle below.

show your work here
hint: to add the square root symbol (√), type
oot\

Explanation:

Step1: Write the Pythagorean theorem formula

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 8\), \(c = 17\), and \(b\) be the missing leg.

Step2: Substitute the known values into the formula

$$8^{2}+b^{2}=17^{2}$$
$$64 + b^{2}=289$$

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

Subtract 64 from both sides:
$$b^{2}=289 - 64$$
$$b^{2}=225$$

Step4: Find \(b\)

Take the square root of both sides:
$$b=\sqrt{225}$$
$$b = 15$$

Answer:

15