in the figure angle AED congruent angle ABC, AD = 3,DB = 5,AE = 4. then the length of AC is
A)2
B)6
C)8
D)12
step wise explanation please
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Step-by-step explanation:
Given:
∆AED is congruent to ∆ABC
(edit: theres no way the figures are congruent... but they are similiar...)
just grasp the picture;
angle E=angle B
Anyways;
The Triangles are similiar.(from fig. and description)
so by similiarity criterion...
Ratio of corresponding sides of two similiar triangles are equal..
ie., AE/ AB =AD/AC
So AC =(AD×AB)/AE
AC=3×(8) /4
AC=3×2=6cm
Option B
Hope it helps...
Regards;
Leukonov/OLegion.
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