Respuesta :

Answer:

≈ 11.7 m

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the measure of the second leg , then

x² + 15² = 19²

x² + 225 = 361 ( subtract 225 from both sides )

x² = 136 ( take square root of both sides )

x = [tex]\sqrt{136}[/tex] ≈ 11.7 m ( to the nearest tenth )