Height of the room

Given the floor area of a room as 24 feet by 48 feet and the space diagonal of a room as 56 feet. Can you find the height of the room?

Correct answer:

c =  16 ft

Step-by-step explanation:

a=24 ft b=48 ft d=56 ft  d2 = a2+b2+c2  c=d2a2b2=562242482=16 ft

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