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WINSTONCH [101]
3 years ago
5

a point on a perpendicular bisector is 7cm from each endpoint of the bisected segment and 5cm from the point of intersection. Wh

at is the length of the segment?
Mathematics
1 answer:
love history [14]3 years ago
8 0

9514 1404 393

Answer:

  about 9.80 cm

Step-by-step explanation:

The length of half the segment (h) can be found from the Pythagorean theorem:

  h² +5² = 7²

  h² = 7² -5² = 49 -25 = 24

  h = √24 = 2√6

This is half the segment length, so the whole segment length is ...

  L = 2h = 2(2√6)

  L = 4√6 ≈ 9.7980

The length of the segment is 4√6 ≈ 9.80 cm.

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