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Question
Find the length of the altitude of an equilateral triangle with side 6 cm.
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Solution 1
In `triangle ADC`
`sin 60^@ = (AD)/(AC)`
`sqrt3/2 xx AC = AD`
`sqrt3/2 xx 6 = AD`
`3sqrt3` cm = AD
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Solution 2
Altitude of equilateral triangle = `sqrt3/2 xx "side"`
`= sqrt3/2 xx 6 = 3sqrt3`cm
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Construction of Similar Triangle
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