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Marat540 [252]
3 years ago
8

What is the measure of m​

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0

Answer:

  • m = 4√6

Step-by-step explanation:

<u>From the similarity of smaller triangles we get:</u>

  • n/8 = 4/n ⇒ n² = 8*4 ⇒ n² = 32

<u>Use Pythagorean to find the length of m:</u>

  • m² = 8² + n²
  • m² = 64 + 32
  • m² = 96
  • m = √96
  • m = 4√6
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