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17-11-2022
Mathematics

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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 6 m Find the length of BC class=

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mhanifa mhanifa

18-11-2022

Answer:

BC = 15 units

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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

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