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For any triangle, prove that the sum of ...

For any triangle, prove that the sum of the sides of the triangle is greater than the sum of the medians of the triangle.

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KUMAR PRAKASHAN-TRIANGLES-SKILL TESTING EXERCISE
  1. In the given figure, XM and YN are both lt perpendicular to line segme...

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  2. In the given figure AB and CD bisect each other at O. Prove that AC = ...

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  3. In rectangle ABCD, E is the midpoint of side BC. Prove that, AE = DE.

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  4. Prove that the medians of an equilateral triangle are equal.

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  5. In the given figure, AB and DC are both perpendicular to line segment ...

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  6. In triangle ABC, AB = AC and the bisector of angle A lt intersects BC ...

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  7. In triangle ABC, the bisectors of angleB and angle C intersect at I. ...

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  8. In triangle ABC, AB = AC and angle A = 36^(@). The bisector of angle C...

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  9. In the given figure, PS = PR and angle TPS = angle QPR. Prove that P...

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  10. In triangle ABC, D is the midpoint of BC. DFZAB and DE bot AC, where p...

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  11. In parallelogram ABCD, diagonals AC and BD are equal. Find the measure...

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  12. triangle ABC and triangle DBC are isosceles triangles on the same base...

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  13. AD, BE and CF are altitudes of triangle ABC. If AD = BE = CF, prove t...

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  14. In quadrilateral ABCD, BA = BC and DA = DC. Prove that BD bisects ang...

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  15. In triangle ABC, AB gt AC and D is any point of BC. Prove that, AB gt...

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  16. In triangle ABC, AC gt AB. AB is extended to P and AC is extended to Q...

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  17. In triangle ABC, AD, BE and CF are altitudes. Prove I, that, AD + BE +...

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  18. Point S lies in the interior of A PQR. Prove that, SQ + SR lt PQ + PR.

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  19. In triangle ABC, AD is a median. Prove that AB + AC gt 2AD

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  20. For any triangle, prove that the sum of the sides of the triangle is g...

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