Answer:
p = 3
Explanation:
We have a right triangle with both legs equal, whose hypotenuse is 3 times the root of 2.
We know both legs are equal because we have identical opposite angles in this right rectangle.
If we apply the Pythagorean theorem, we obtain:
![p^2+p^2=(3√(2))^2=9\cdot 2=18\\\\2p^2=18\\\\p^2=18/2=9\\\\p=√(9)\\\\p=3](https://img.qammunity.org/2021/formulas/mathematics/high-school/8y2yzqbpeiwofdke9vpjzm8bn6ay7ph4vf.png)