# Help me understand this question

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## Answers

Answer:[tex]h = 24cm[/tex]Step-by-step explanation:We want to use similar triangles to find the height, h of triangle ABE.First, we determine the similarity ratio.AE:DC=20:10=2:1This implies that:, the height of triangle DBC is 0.5h.From the diagram, the sum of the two heights is 36cmThis implies that:[tex]h + 0.5h = 36[/tex][tex]1.5h = 36[/tex]Divide through by 1.5[tex]h = \frac{36}{1.5} [/tex][tex]h = 24cm[/tex]

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