Respuesta :

Answer:

≈ 19.2 cm

Step-by-step explanation:

The diagonal of the rectangle divides the rectangle into 2 right triangles.

Using Pythagoras' identity with legs 12 and 15 and the diagonal d as hypotenuse, then

d² = 12² + 15² = 144 + 225 = 369 ( take the square root of both sides )

d = [tex]\sqrt{369}[/tex] ≈ 19.2 ( to the nearest tenth )