The trapezoid diagonal is 6, it divides the trapezoid into two similar triangles. Find the length of the lower base of the trapezoid if the bigger base is 12?

1 Answer
CW
Oct 9, 2017

#3# units

Explanation:

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As shown in the figures, #AD and BC# are the bases of the trapezoid #ABCD#,
As #AD# is parallel to #BC#,
#=> angleBCD=angleCAD=x#
Given that the diagonal #AC# divides the trapezoid into two similar triangles, namely, #DeltaABC, and DeltaDCA#, and as #angleADC != angleABC#
#=> angleCAB=angleADC=y#
#=> (BC)/(AC)=(CA)/(DA)#
#=> (BC)/6 = 6/(12)#
#=> BC=3#

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