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In triangle ABC, D is the midpoint of BC...

In `triangle` ABC, D is the midpoint of BC. DFZAB and DE `bot` AC, where points F and E lie on AB and AC respectively. If DF = DE, prove that /\ ABC is an isosceles triangle.

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-TRIANGLES-SKILL TESTING EXERCISE
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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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  6. In triangle ABC, the bisectors of angleB and angle C intersect at I. ...

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  7. In a triangle ABC , AB = AC and angle A = 36^(@) If the internal ...

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  8. In the given figure, PS = PR and /TPS = /QPR. Prove that PT = PQ.

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

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

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

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  12. A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that...

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

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

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

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

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  17. S is any point in the interior of a trianglePQR . Prove that SQ +SR l...

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

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  19. Prove that the perimeter of a triangle is greater than the sum of its ...

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