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In ΔABC, DE || BC. If DB = 5.4 cm, AD = 1.8 cm, EC = 7.2 cm, then find AE. - Geometry Mathematics 2

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प्रश्न

In ΔABC, DE || BC. If DB = 5.4 cm, AD = 1.8 cm, EC = 7.2 cm, then find AE.

योग

उत्तर

In ΔABC, DE || BC

∴ `(AD)/(DB) = (AE)/(EC)`  ....(Basic proportionality theorem)

∴ `1.8/5.4= (AE)/7.2`

∴ AE × 5.4 = 1.8 × 7.2

∴ AE = `(1.8 xx 7.2)/5.4`

∴ AE = `12.96/5.4`

AE = 2.4 cm

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