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If Q is a point on the side SR of a triangle PSR such that PQ=PR then prove that `PS > PQ`

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To prove that \( PS > PQ \) given that \( PQ = PR \) in triangle \( PSR \) where \( Q \) is a point on side \( SR \), we can follow these steps: ### Step 1: Identify the Angles Let’s label the angles in triangle \( PSR \) and triangle \( PQR \): - Let \( \angle PQR = \angle 1 \) - Let \( \angle PRQ = \angle 2 \) - Let \( \angle QRP = \angle 3 \) - Let \( \angle PSQ = \angle 4 \) ...
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NCERT EXEMPLAR-TRIANGLES-Triangles
  1. In the given figure,Delta CDE is an equlatel triangle triangle formed...

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  2. In figure ,BA | AC,DE |DF such that BA =DE and BF=EC.then

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  3. If Q is a point on the side SR of a triangle PSR such that PQ=PR then...

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  4. S in any point on side QR of a Delta PQR.Show that PQ + QR+RP gt 2PS.

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  5. D is any point on side AC of a Delta ABC with AB = AC then

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  6. In give figur l abs() m and M is the mid-point of a line segment AB .S...

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  7. The bisectors of angleB and angleC of an isosceles triangle with AB = ...

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  8. Bisectors of the angles B and C of an isosceles Delta ABC with AB=AC...

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  9. In following figure if AD if the bisector of angleABC, then prove that...

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  10. Find all the anlges of an equilateral triangle.

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  11. The image of the an object placed at a point A before a plane mirror ...

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  12. ABC is an isosceles triangle with AB=AC and D is a point on ABC BC suc...

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  13. P is a point on the bisector of angle ABC .If the line through P,para...

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  14. ABCD is a quadrilateral in which AB=BC and AD =CD ,Show that BD bisect...

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  15. ABC is a right triangle with AB = AC.If bisector of angle A meet BC a...

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  16. O is a point in the interior of a square ABCD such that Delta OAB is ...

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  17. ABC and DBC are two triangle on the same base BC such that A and D lie...

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  18. In Figure, a A D\ a n d\ B E are respectively altitudes of an isosc...

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  19. Prove that sum of any two sides of a triagle is greater than twice the...

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  20. Show that in a quadrilateral ABCD ,AB+BC+CD+DA lt 2 (BD + AC)

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