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

2.83 cm to nearest hundredth or 2√2.

Step-by-step explanation:

In this triangle the ratio of a leg to the hypotenuse is 1 : sqrt2,

so x / 4 = 1 / sqrt2 where x = length of a leg.

Therefore x = 4*1 / sqrt2

= 2 sqrt2

= 2.83