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AD is a median of triangle ABC. Prove th...

AD is a median of triangle ABC. Prove that : `AB+BC+AC gt 2AD`

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AD is a median of triangle ABC. Prove that : AB+AC gt 2AD

In DeltaABC, D is any point on side BC. Prove that AB+BC+CA gt 2AD

AD is a median of the Delta ABC .Is it trure AB+BC+CA gt 2 AD ? Give reason for your answer

The following figures shows a triangle ABC in which AD is median and AE bot BC. Prove that : 2AB ^(2) + 2AC^(2) = 4AD^(2)+ BC^(2)

The following figure shows a triangle ABC in which AD is a median and AE bot BC . Prove that 2AB^(2)+ 2AC^(2) = 4AD^(2) + BC^(2) .

In the figure, given alongside, AD bisects angle BAC. Prove that : (i) AB gt BD (ii) AC gt CD (iii) AB+AC gt BC

In the figure, given alongside, AD bisects angle BAC. Prove that : (i) AB gt BD (ii) AC gt CD (iii) AB+AC gt BC

If D any point on the BC of an isosceles triangle ABC then prove that AB gt AD and AC gt AD .

In the following figures, the sides AB and BC and the median AD of triangle ABC are respectively equal to the sides PQ and QR and median PS of the triangle PQR. Prove that Delta ABC and Delta PQR are congruent.

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ICSE-INEQUALITIES-EXERCISE 11
  1. AD is a median of triangle ABC. Prove that : AB+BC+AC gt 2AD

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  2. From the following figure, prove that : AB gt CD

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  3. In a triangle PQR, QR = PR and angleP=36^(@). Which is the largest sid...

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  4. If two sides of a triangle are 8 cm and 13 cm, then the length of the ...

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  5. In each of following figures, write BC, AC and CD in ascending order o...

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  6. Arrange the sides of DeltaBOC in descending order of their lengths. BO...

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  7. D is a point in side BC of triangle ABC. If AD gt AC, show that AB gt ...

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  8. In the following figure, angleBAC=60^(@)" and "angleABC=65^(@). Prov...

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  9. In the following figure , AC = CD, angleBAD=110^(@)" and " angleACB=...

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  10. From the following figure, prove that : (i) AB gt BD (ii) AC gt CD...

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  11. In a quadrilateral ABCD, prove that : (i) AB+BC+CD gt DA (ii) AB+B...

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  12. In the following figure, ABC is an equilateral triangle and P is any p...

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  13. P is any point inside the triangle ABC. Prove that : angleBPC gt angle...

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  14. Prove that the straight line joining the vertex of an isosceles triang...

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  15. In the following diagram, AD = AB and AE bisects angle A. Prove that :...

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  16. The sides AB and AC of a triangle ABC are produced, and the bisectors ...

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  17. In the following figure, AB is the largest side and BC is the smallest...

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  18. In quadrilateral ABCD, AB is the shortest side and DC is the longest s...

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  19. In triangle ABC, side AC is greater than side AB. If the internal bise...

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  20. In isosceles triangle ABC, sides AB and AC are equal. If point D lies ...

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  21. Given : ED = EC Prove : AB+AD gt BC.

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