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In fig., line BC || line DE, AB = 2, BD = 3, AC = 4 and CE = x, then find the value of x - Geometry Mathematics 2

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प्रश्न

In fig., line BC || line DE, AB = 2, BD = 3, AC = 4 and CE = x, then find the value of x

योग

उत्तर

In ΔADE,

line BC || seg DE    ......[Given]

∴ by Basic proportionality theorem

∴ `"AB"/"BD" = "AC"/"CE"` 

∴ `2/3 = 4/x`     ......[Given]

∴ x = `4 xx 3/2`

∴ x = 2 × 3

∴ x = 6

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अध्याय 1: Similarity - Q.1 (B)

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