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Pq is Perpendicular to Ba and Bd is Perpendicular to Ap.Pq and Bd Intersect at R. Prove that δAbd ∼ δApq and Ab Ap = Bd Pq . - Mathematics

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प्रश्न

PQ is perpendicular to BA and BD is perpendicular to AP.PQ and BD intersect at R. Prove that ΔABD ∼ ΔAPQ and `"AB"/"AP" = "BD"/"PQ"`.

योग

उत्तर

In ΔABD and ΔAPQ,
∠BDA  ∠PQA = 90°
∠A = ∠A
Therefore, ΔABD ∼ ΔAPQ   ...(AA axiom)

And hence, `"AB"/"AP" = "BD"/"PQ"`.

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अध्याय 16: Similarity - Exercise 16.1

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 16 Similarity
Exercise 16.1 | Q 19
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