Question

in the given PA | AB,QB|ABandPA=QB.
prove that∆OAP=∆OBQ.
IS OA=OB?​

Answer 1

Answer:

Explanation:

Given PA = PB

∠PAO =∠QBO = 90° ( SINCE PA ⊥ AB AND QB ⊥ AB )

∠AOP = ∠BOQ (Vertically opposite)

∴ΔAOP≅ΔBOQ (AAS)

⇒OA = OB(CPCTC)

Answer 2

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▣ Given:-

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PA _|_ AB , QA _|_ AB and PA = QB

▣ To prove :-

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∆ OAP = ∆ OBQ Is OA = OB

▣ Proof :-

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In ∆ OAP and ∆ OBQ

PA = QB ..........(Given)

Angle POA = angle QOB ...........(Vertically opposite angles)

Angle OAP = angle OBQ = 90°

Therefore, ∆ OAP =~ ∆ OBQ ............(From AAS congruence property)

➪ OA = OB ..........(corresponding parts of congruent triangle)

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Hope it will help you.....✌️