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Prove that the straight line joining the...

Prove that the straight line joining the vertex of an isosceles triangle to any point in the base is smaller than either of the equal sides of the triangle.

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ICSE-INEQUALITIES-EXERCISE 11
  1. In a triangle PQR, QR = PR and angleP=36^(@). Which is the largest sid...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. In quadrilateral ABCD, side AB is the longest and side DC is the short...

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

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

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

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  20. In triangle ABC, AB gt AC and D is a point in side BC. Show that : AB ...

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