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PSYCHO15rus [73]
3 years ago
8

What is the length of the diagonal, ddd, of the rectangular prism shown below?

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer:

≈ 9.6 units

Step-by-step explanation:

<em>Refer to attachment</em>

The diagonal d is the hypotenuse of right triangle with sides of 5 and a

The line a is the hypotenuse of the right triangle with the sides of 2 and 8.

<u>So, as per Pythagorean theorem:</u>

  • d² = 5² + a²
  • d²= 5² + 2²+ 8² = 25 + 4 + 64 = 93
  • d² = 93
  • d = √93
  • d ≈ 9.6 units (rounded to the nearest tenth)

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