Given: Parallelogram STAR, TK ⟂ SR and TL ⟂ AR

Prove: TS / TA = SK / AL

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AA similarity
Definition
Parallelogram STAR, TK ⟂ SR and TL ⟂ AR
TS / TA = SK / AL
Given
∠TKS = ∠TLA
The opposite sides and angles of a parallelogram are equal
△TKS ~ △TLA
∠S = ∠A
All right angles are equal