Question

1. u 12 in ? w 16 in v

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here \(a = 12\), \(b=16\), and \(c\) is the hypotenuse (side \(UV\)).

Step2: Substitute values

$$12^{2}+16^{2}=c^{2}$$
$$144 + 256=c^{2}$$
$$400=c^{2}$$

Step3: Solve for \(c\)

Take square root of both sides: \(c=\sqrt{400}\)

Answer:

\(20\) inches