Answer:
18.03 cm
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