The hypotenuse of a 45°-45°-90° triangle measures 4 cm. what is the length of one leg of the triangle

The angles of the triangle are given as to have measures of 45°-45°-90°. This entails that the triangle is an isosceles triangle where the 2 legs of the triangle are of equal length. We calculate as follows:

c² = a² + b²

c² = 2a²

4² = 2a²

a = 2√2

Hope this answers the question. Have a nice day.