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 \(a = 6\), \(c = 10\), and \(b\) be the missing leg.

Step2: Substitute the known values into the formula

$$6^{2}+b^{2}=10^{2}$$
$$36 + b^{2}=100$$

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

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

Step4: Find \(b\)

$$b=\sqrt{64}$$
$$b = 8$$

Answer:

\(8\)