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DeltaABC and DeltaDBC are two isosceles ...

`DeltaABC` and `DeltaDBC` are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (See Fig.
).If AD is extended to intersect BC at P, show that AP bisects `angleA` as well as `angleD`.

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MODERN PUBLICATION-TRIANGLES-EXERCISE
  1. DeltaABC and DeltaDBC are two isosceles triangles on the same base BC ...

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  2. PQR is a triangle in which PQ=PR and S is any point on the side PQ. Th...

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  3. In an isosclees triangle ABC, with AB = AC, the bisectors of angleB an...

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  4. P is a point on the bisector of an angle angleABC. If the line through...

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  5. ABC is a right angled triangle in which angleA = 90^@ and AB = AC. Fin...

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  6. In the fig. RT=TS, angle1=2angle2 and angle4=2angle3. Prove that trian...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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