Answer:
x ≈ 21.75
Step-by-step explanation:
using Pythagoras' identity in the right triangle
a² + b² = c² ( c is the hypotenuse and a, b the legs )
here a = x, b = 16 and c = 27 , then
x² + 16² = 27²
x² + 256 = 729 ( subtract 256 from both sides )
x² = 473 ( take square root of both sides )
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{473}[/tex] , then
x ≈ 21.75 ( to the nearest hundredth )
