daniellesolomon0621 daniellesolomon0621
  • 12-05-2020
  • Mathematics
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The floor of a rectangular living room is 18 feet by 24 feet. What is the distance between opposite corners of the living room?

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danilobabaglio
danilobabaglio danilobabaglio
  • 12-05-2020

Answer:

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

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