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

Respuesta :

Answer:

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


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