Maharashtra State BoardSSC (English Medium) 9th Standard
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In the Given Figure, If Seg Pr ≅ Seg Pq, Show that Seg Ps > Seg Pq. - Geometry

Sum

In the given figure, if seg PR ≅ seg PQ, show that seg PS > seg PQ. 

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Solution

In △PRS, ∠PRS is an obtuse angle.
Since, a traingle can have maximum one obtuse angle.
Hence, ∠PRS is the greatest angle.
Therefore, the side opposite to ∠PRS i.e., PS is the longest side.
Now, seg PS > seg PR > seg RS
∴ seg PS > seg PQ                  [∵seg PR ≅ seg PQ]

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APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 3 Triangles
Practice Set 3.4 | Q 7 | Page 44
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