Calculate CC¹ in an Orthohedron: Given A¹B = 12

Look at the orthohedron in the figure.

A1B=12 A^1B=12

Canculate CC1 CC^1 .

101010121212AAABBBCCCDDDAAA111BBB111CCC111DDD111

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Step-by-step video solution

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00:00 Find the height of box CC1
00:03 Each face of the box is a rectangle, therefore opposite sides are equal
00:07 Substitute the side value according to the given data
00:12 Each face of the box is a rectangle, therefore all angles are right angles
00:20 Now let's use the Pythagorean theorem in triangle BB1A1 to find BB1
00:28 Let's substitute appropriate values and solve for BB1
00:34 Isolate BB1
00:44 This is the height BB1
00:50 Let's factor 44 into 4 and 11
00:58 Each face of the box is a rectangle, therefore opposite sides are equal
01:04 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Look at the orthohedron in the figure.

A1B=12 A^1B=12

Canculate CC1 CC^1 .

101010121212AAABBBCCCDDDAAA111BBB111CCC111DDD111

3

Final Answer

211 2\sqrt{11}

Practice Quiz

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Consider a right-angled triangle, AB = 8 cm and AC = 6 cm.
Calculate the length of side BC.

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