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# Geometry problem

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The two diagonals of quadrilateral ABCD intersect at E. We know DC=12,CA=21,AB=18,BD=19, and Angle ABD=angle ACD. Find [BEC]/[AED].

I don't know where to start for this problem and it won't let me look at the solution.

Dec 29, 2021
edited by fuhsah  Dec 29, 2021

#1
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What do the square brackets mean?

Dec 29, 2021
#2
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area of the shape.

fuhsah  Dec 30, 2021
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Triangles ABE and CDE are similar.

Dec 30, 2021
#4
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This is very simple.

ΔABE ~ ΔCDE

BE = x         CE = y

x/18 = y/12

12x = 18y

y = 12x / 18

18 / 21-y = 12 / 19-x

18(19-x) = 12(21-y)

18(19-x) = 12(21- 12x/18)

x = 9         y = 6

I'll let you finish up your homework.

Dec 30, 2021
#5
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However please don't state that a question is very simple because it sounds really insulting to the question asker.

In this case, I for one, do not think the question is as simple as you suggest.

Fuhsah,

Jugoslav has given you some insight which may be enough for you.

Melody  Dec 30, 2021
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I didn't mean to offend anyone.

Guest Dec 30, 2021
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Yes I know. :)

Melody  Dec 30, 2021