Respuesta :

Answer:

18.03 cm

Step-by-step explanation:

The two sides of the rectangle are the legs of a right triangle and the diagonal is the hypotenuse.  We can use the Pythagorean theorem

a^2 + b^2 = c^2

10^2 +15^2 = c^2  

100 +225 = c^2

325 = c^2

Take the square root of each side

sqrt(325) = sqrt(c^2)

18.02775638 =c

Rounding to the nearest hundredth

18.03 =c