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प्रश्न
In ΔABC, altitudes AD and BE are drawn. If AD = 7 cm, BE = 9 cm and EC = 12 cm then, find the length of CD.
बेरीज
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उत्तर
Given: AD = 7 cm, BE = 9 cm and EC = 12 cm
∠E = ∠D = 90°
In ΔADC and ΔBEC
∠ADC = ∠BEC ...[90° (Given)]
∠ACD = ∠BCE ...[Common]
By AA similarity criteria ΔADC ∼ ΔBEC
`"AD"/"BE"="CD"/"CE"`
`7/9="CD"/12`
CD = `7/9xx12`
CD = `28/3` cm
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