Question

find j.
triangle with 45°, 45°, right angle, one leg 10 mm, hypotenuse j
write your answer in simplest radical form.
blank millimeters
radical symbol button

Explanation:

Step1: Identify the triangle type

This is a 45 - 45 - 90 right - triangle. In a 45 - 45 - 90 triangle, the legs are equal, and the hypotenuse \(j\) is related to the leg \(a\) (here \(a = 10\) mm) by the formula \(j=a\sqrt{2}\).

Step2: Calculate the hypotenuse

Substitute \(a = 10\) into the formula \(j=a\sqrt{2}\). So \(j = 10\sqrt{2}\) mm.

Answer:

\(10\sqrt{2}\)