Question

what is the value of x?
x =

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 8\), \(c = 10\), and \(b=x\).

Step2: Substitute values into the formula

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

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

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

Step4: Find \(x\)

$$x=\sqrt{36}$$
Since \(x\) represents the length of a side of a triangle, \(x>0\).

Answer:

\(6\)