Question

find j.
18√2 ft
45°
j
45°
write your answer in simplest radical form.
feet
submit

Explanation:

Step1: Identify triangle type

This is a 45 - 45 - 90 triangle, so legs are equal, hypotenuse \(= \text{leg} \times \sqrt{2}\).

Step2: Let leg length be \(j\)

Hypotenuse is \(18\sqrt{2}\), so \(18\sqrt{2}=j\sqrt{2}\).

Step3: Solve for \(j\)

Divide both sides by \(\sqrt{2}\): \(j = \frac{18\sqrt{2}}{\sqrt{2}} = 18\).

Answer:

18