Question

what is the missing side length? 8 1.25 14.0625 3.75

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$, where \(a = 5\), \(c=6.25\), and \(b=x\).

Step2: Substitute values

$$5^{2}+x^{2}=6.25^{2}$$
$$25+x^{2}=39.0625$$

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

$$x^{2}=39.0625 - 25$$
$$x^{2}=14.0625$$

Step4: Find \(x\)

$$x=\sqrt{14.0625}$$
$$x = 3.75$$

Answer:

\(3.75\)