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In trianglePQR, S is the point on the si...

In `trianglePQR`, S is the point on the side QR. Prove that PQ+QR+RP>2PS

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In the trianglePQR , S is any point on the side QR show that PQ+QR+RP+2PS

PQR is a triangle in which PQ=PR and S is any point on the side PQ. Through S, a line is drawn parallel to QR and intersecting PR at T. prove that PS=PT.

If S is the mid-point of side QR of a DeltaPQR , then prove that PQ+PR=2PS .

Diagonals PR and QS of a quadrilateral PQRS intersect each other at O. Prove that PR + QR + RS + SP

Diagonals PR and QS of a quadrilateral PQRS intersect each other at O. Prove that PR + QR + RS + SP

In the APbotQR , PR>PQ and PS=PQ. Prove that AR>AQ

In Fig. 6.56, PS is the bisector of angle QPR of Delta PQR . Prove that (QS)/(SR)=(PQ)/(PR)

Q is a point on the side SR of a trianglePSR such that PQ=PR. Prove that PS>PQ.

In Fig. 6.44, the side QR of triangle PQR is produced to a point S. If the bisectors of angle PQR and angle PRS meet at point T, then prove that angle QTR =1/2 angle QPR .

MODERN PUBLICATION-TRIANGLES-EXERCISE
  1. In the fig. RT=TS, angle1=2angle2 and angle4=2angle3. Prove that trian...

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  2. In the fig AB=CD and AD=BC. Prove that triangleADCequivtriangleCBA

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  3. In trianglePQR, S is the point on the side QR. Prove that PQ+QR+RP>2PS

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  4. In the given fig. O is the point of each of the line segment AB and CD...

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  5. In the given figure PA bot AB, QB bot AB and PA=QB intersects AB at O,...

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  6. In the fig. X and Y are respectively two points on equal sides AB and ...

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  7. In the fig. C is the mid point of AB. If angleDCA=angleECB and angleDB...

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  8. In the fig. BAbotAC and DEbotEF such that BA=DE and BF=DC. Prove that ...

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  9. In the fig. AD is a median of triangleABC. If BL and CM are drawn perp...

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  10. In the fig. triangle AB=AC and bisectors of angleB and angleC meet at ...

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  11. In the fig, PQR is an equilateral triangle and QRST is a square. Prove...

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  12. In the fig, PQR is an equilateral triangle and QRST is a square. Prove...

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  13. Prove that the median from the vertex of an isosceles triangle is the ...

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  14. In the fig. ABCD is square and P is a point on such that PB=PD. Prove ...

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  15. In the fig. :ABCD is a quadrilateral in which AD=AB and BC=DC. Prove t...

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  16. In the fig. :ABCD is a quadrilateral in which AD and BC=DC. Prove that...

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  17. In the fig. P is a point in the interior of angleAOB, PLbotOA and PMbo...

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  18. In the fig. ABCD is a square M is the mid point and PQ bot CM meets AD...

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  19. In the fig. ABCD is a square M is the mid point and PQ bot CM meets AD...

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  20. In triangle ABC, if angleA=40^@ and angleB=60^@. Determine the longest...

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