Respuesta :

Answer:

unknown side ≈ 16.5 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

a² + b² = c² ( c is the hypotenuse and a, b the legs )

let a be the unknown side , b = 16 and c = 23 , then

a² + 16² = 23²

a² + 256 = 529 ( subtract 256 from both sides )

a² = 273 ( take square root of both sides )

a = [tex]\sqrt{273}[/tex] ≈ 16.5 cm ( to the nearest tenth )