Aroom is 20 feet long, 12 feet wide, and 10 feet high. what is the maximum distance from one corner to another

25.4 ft  

Step-by-step explanation:

Let D1 be the distance from one corner to the diagonally opposite one and D2 be the  diagonal distance from one corner to the ceiling.

D1² = 20² + 12²

D2² = D1² + 10²            Substitute the value of D1²

D2² = 20² + 12² + 10²

D2² = 400 + 144 + 100

D2² = 644

D2 = √(644)

D2 = 2√(161)

D2 ≈ 25.4 ft

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2