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In the given figure \(YH \parallel TE\). Prove that \(\triangle WHY \sim \triangle WET\) and also find \(HE\) and \(TE\).
 
YCIND150720223963TM8geos120.png
 
Proof:
 
 StatementReason
1\(\angle EWT = \angle HWY\)
2\(\angle ETW = \angle HYW\)
3\(\angle WET = \angle WHY\)
4\(\triangle WHY \sim \triangle WET\)
 
\(HE =\)
 \(units\)
 
\(TE =\)
 \(units\)
Answer variants:
\(16\)
By \(ASA) Similarity criteria(1,2,3)
Corresponding angles because \(YH \parallel TE\).
\(18\)
common angle
By \(AAA\) Similarity Criteria(1,2,3)