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In the figure below, AC || DE, BD measures 8 m, AD measures 12 m, and BE measures 6 m. Find the length of BC.
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In the figure below, AC || DE, BD measures 8 m, AD measures 12 m, and BE measures 6 m. Find the length of BC.

In the figure below, AC || DE, BD measures 8 m, AD measures 12 m, and BE measures-example-1
User Ferruh
by
3.4k points

1 Answer

2 votes

Answer:

  • BC = 15 units

===============

Parallel lines divide the transversal into proportional segments.

Set ratios and find the missing length

  • BD/AD = BE/ED
  • 8/12 = 6/ED
  • 2/3 = 6 / ED
  • ED = 6*3/2
  • ED = 9

Find BC

  • BC = BE + ED
  • BC = 6 + 9
  • BC = 15
User Sashi Kolli
by
3.5k points
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