Question

find j.
right triangle with right angle, one angle 45°, hypotenuse √2 mi, the other angle 45°, side j is one leg
write your answer in simplest radical form.
blank miles
submit

Explanation:

Step1: Identify triangle type

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

Step2: Set up hypotenuse equation

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

Step3: Solve for $j$

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

Answer:

1 miles