Question

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

Answer 1

• 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