Question

Find the missing length???

Answer 1

`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`