Respuesta :

Answer:

option 4

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

BC² + AC² = AB² , that is

a² + 48² = 60²

a² + 2304 = 3600 ( subtract 2304 from both sides )

a² = 1296 ( take square root of both sides )

a = [tex]\sqrt{1296}[/tex] = 36

Answer:

[tex]hypotenuse {}^{2} = opposite {}^{2} + adjacent {}^{2} \\ let \: adjacent = x \\ 60 {}^{2} = {48}^{2} + {x}^{2} \\ {60}^{2} - {48}^{2} = {x}^{2} \\ 3600 - 2304 = {x }^{2} \\ 1296 = {x}^{2} \\ x = \sqrt{1296} \\ x = 36[/tex]