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Question

In the given figure, ΔABCΔADE. If
AE:EC=4:7 and DE=6.6 cm, find BC. If x be the length of the perpendicular from A to DE, find the length of perpendicular from A and BC in terms of x.


194947_40b2fdf0a320434eac50005024d99ab3.png

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Solution

Given AEEC=47
ECAE=74
EC+AEAE=7+44
ACAE=114
Given, ABCADE
ACAE=BCDE
114=BC6.6
BC=18.15 cm
The perpendiculars of similar triangles are in proportion to their sides, Hence, perpendicular from A on BC = ACAE (perpendicular from A on DE)
Perpendicular from A on BC = 114x

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