Answer:
The length of AE is 11.8 units.
Step-by-step explanation:
Given the triangle ABC, E∈ AB m∠ABC=m∠ACE AB=34, AC=20. we have to find the length of side AE.
In ΔACE and ΔABC
∠A=∠A (Common)
∠ABC=∠ACE (Given)
∴ By AA similarity, ΔACE is similar to ΔABC
Hence by triangle proportionality theorem,
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⇒
It is 9 inches because 54 divided by 6 is 9