Question

find p.
3√2 cm
45°
45°
p
write your answer in simplest radical form.
centimeters

Explanation:

Step1: Identify triangle type

This is a 45-45-90 right triangle, so the two legs are equal, and the hypotenuse is leg $\times\sqrt{2}$.

Step2: Set up hypotenuse equation

Let leg length = $p$. Hypotenuse: $p\sqrt{2} = 3\sqrt{2}$

Step3: Solve for $p$

Divide both sides by $\sqrt{2}$: $p = \frac{3\sqrt{2}}{\sqrt{2}}$

Answer:

3 centimeters