Question

for the following right triangle, find the side length x. round your a

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 9\), \(c = 16\), and \(b=x\).

Step2: Substitute values into the formula

$$9^{2}+x^{2}=16^{2}$$
$$81+x^{2}=256$$

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

$$x^{2}=256 - 81$$
$$x^{2}=175$$

Step4: Find \(x\)

$$x=\sqrt{175}$$
$$x = 5\sqrt{7}\approx13.2$$

Answer:

\(13.2\)