Question

find k.
image of a right triangle with two 45° angles, one leg is $5\sqrt{2}$ m, hypotenuse is k
write your answer in simplest radical form.
blank meters
radical symbol button

Explanation:

Step1: Identify triangle type

This is a 45-45-90 triangle, so legs are equal, hypotenuse \( k = \text{leg} \times \sqrt{2} \).
Leg length is \( 5\sqrt{2} \) m.

Step2: Calculate hypotenuse \( k \)

Using formula \( k = 5\sqrt{2} \times \sqrt{2} \).
Simplify: \( 5 \times (\sqrt{2} \times \sqrt{2}) = 5 \times 2 = 10 \).

Answer:

10