Question

find the value of x.

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here \(a = 6\), \(b = 8\), and \(c=x\) (hypotenuse).

Step2: Substitute values

$$6^{2}+8^{2}=x^{2}$$
$$36 + 64=x^{2}$$
$$100=x^{2}$$

Step3: Solve for \(x\)

Take square root of both sides. \(x=\sqrt{100}\)

Answer:

\(10\)