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In the fig. C is the mid point of AB. If...

In the fig. C is the mid point of AB. If `angleDCA=angleECB` and `angleDBC=angleEAC`, prove that DC=EC

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MODERN PUBLICATION-TRIANGLES-EXERCISE
  1. In the given figure PA bot AB, QB bot AB and PA=QB intersects AB at O,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. In triangle ABC, if angleA=90^@ and angleB=35^@ which is the longest s...

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  18. In triangleABC, if angleB=angleC=45^@which is the longest side?

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  19. Is it possible to draw a triangle with sides of the lenghts 2 cm, 3 cm...

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  20. In triangleABC, side AB is produced to D such that BD=BC. If angleB=60...

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