Find the missing length???

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1 Answer
Jane
Mar 4, 2018

#0.34 m#

Explanation:

Comparing the two triangles, #AEB# and #ADC# we get,

angle #A# is common for both,and also, angle #E# = angle #D# and angle #B# = angle #C# (similar angle)

So,they are similar triangles.

from the properties of similar triangle,we can say,

#(AE)/(ED) =(AB)/(AC) = (EB)/(DC)#

So, #(AB)/(AB+BC) = (EB)/(DC)#

Given, #BC=0.5 m,EB=3.2 m,DC=8 m#,

so solving we get, #AB=0.34 m#

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