Math, asked by goyalyogesh, 9 months ago

in the figure, Db is perpendicular to Bc and de is perpendicular to ab and ac is perpendicular to bc prove that be/ de = ac/bc.​

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Answered by Anonymous
4

Answer:

please click whole fig.

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Answered by Anonymous
14

Correct Question:-

in the figure,DB is perpendicular to BC and DE is perpendicular to AB and AC is perpendicular to BC prove that BE/ DE = AC/BC.

Given:-

•In the given figure DB⏊BC; DE⏊AB and AC⏊BC

To Prove:-

BE/DE=AC/BC

Proof:-

DB⏊BC

Therefore, DBC=90

==>DBE+ABC=90 ____( 1 )

AC⏊BC

Therefore, ACB=90

==>ABC+BAC=90 ____( 2 )

In view of (1) and (2)

DBE=BAC. ____( 3 )

In ΔDEB and ΔBCA

∠DEB=∠BCA [Each =90]

∠DBE=∠BAC [From (3) ]

Therefore ,

ΔDEBΔBCA. [ AA similarities]

Therefore,

BE/AC=DE/BC [ Corresponding sides of two similar triangles are proportional]

==> BE/DE=AC/BC

Hence, Proved

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