The Length of side AE= 18
Given :
A triangle ABE with the measure of sides .
Explanation :
Find out the measure of AE using similar triangles
From the given figure, Triangle ABE is similar to triangle CDE
When the triangles are similar then the sides are proportional
[tex]\frac{AB}{CD} =\frac{AE}{CE}[/tex]
We know that AB=15, CD=10, CE= 12
Substitute all the values and find out AE
[tex]\frac{AB}{CD} =\frac{AE}{CE}\\\frac{15}{10} =\frac{AE}{12}\\Cross \; multiply \\15(12)= AE(10)\\Divide \; both \; sides \; by \; 10\\\frac{15(12)}{10} =AE\\18=AE\\AE=18[/tex]
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