Question

use the pythagorean theorem to find the missing leg of the triangle below. round to two decimal places, if necessary. show your work here hint: to add the square root symbol (√), type
oot\

Explanation:

Step1: Write the Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 8\), \(c = 26\), and \(b\) be the missing leg.

Step2: Substitute the values into the formula

$$8^{2}+b^{2}=26^{2}$$
$$64 + b^{2}=676$$

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

$$b^{2}=676 - 64$$
$$b^{2}=612$$

Step4: Find \(b\)

$$b=\sqrt{612}$$
$$b\approx24.74$$

Answer:

\(24.74\)