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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

If figure OPRQ is a square and ∠MLN = 90°. Prove that ∆LOP ~ ∆RPN - Mathematics

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Question

If figure OPRQ is a square and ∠MLN = 90°. Prove that ∆LOP ~ ∆RPN

Sum

Solution

In ∆LOP and ∆RPN

∠OLP = ∠PRN = 90°

∠LPO = ∠PNR ...(OP || MN)

∴ ∆LOP ~ ∆RPN ...(By AA similarity)

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Chapter 4: Geometry - Exercise 4.1 [Page 171]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 4 Geometry
Exercise 4.1 | Q 7. (ii) | Page 171
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