Question

Look at the screenshots then answer the questions appropriately with 100% accuracy

Answer 1

4th option: 10√2 cm

Explanation:

With the diagonal a right triangle is formed where the hypotenuse is the diagonal, therefore we can apply the Pythagorean theorem as follows:

`\begin{gathered} h^2=a^2+b^2 \\ \\ \text{ squares have equal sides a = b, therefore:} \\ \\ h^2=a^2+a^2 \\ \\ h^2=2a^2 \\ \\ \text{ we replacing:} \\ \\ 20^2=2a^2 \\ \\ a^2=(400)/(2) \\ \\ a=√(200) \\ \\ a=10√(2) \end{gathered}`

Therefore, the correct answer is 4th option: 10√2 cm