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