Question

find n.
image of a right triangle with two 45° angles, hypotenuse labeled 20√2, one leg labeled n
write your answer in simplest radical form.
blank units
√ button

Explanation:

Step1: Identify triangle type

This is a 45 - 45 - 90 triangle, so legs are equal, hypotenuse \(= \text{leg} \times\sqrt{2}\). Let leg be \(n\), hypotenuse \(= 20\sqrt{2}\).

Step2: Solve for \(n\)

Using hypotenuse formula: \(20\sqrt{2}=n\sqrt{2}\). Divide both sides by \(\sqrt{2}\): \(n = 20\).

Answer:

20