The floor of a rectangular living room is 18 feet by 24 feet. What is the distance between opposite corners of the living room?

The distance between opposite corners of the living room is 30ft

Step-by-step explanation:

This can be thought of as a right triangle and we want to know its hypotenuse

To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras

h = hypotenuse

a = leg 1 = 18ft

b = leg 2 = 24ft

h² = a² + b²

we replace the known values

h² = (18ft) ² + (24ft) ²

h² = 324ft² + 576ft²

h² = 900ft²

h = √ (900ft²)

h = 30ft

The hypotenuse is 30ft