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In an equilateral triangle , prove that ...

In an equilateral triangle , prove that three times the square pf one side is equal to four times the square of one of its altitudes.

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The correct Answer is:
`3a^(2)`
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SUBHASH PUBLICATION-TRIANGLES -EXERCISE 2.5
  1. Sides of triangles are given below. Determine which of them are right ...

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  2. PQR is a triangle right angled at P and M is a point on QR such that P...

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  3. In Fig , ABD is a triangle right angled at A and AC bot BD. show that ...

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  4. In Fig , ABD is a triangle right angled at A and AC bot BD. show that ...

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  5. In Fig , ABD is a triangle right angled at A and AC bot BD. show that ...

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  6. ABC is an isosceles triangle right angled at C . Prove that AB^(2)=2A...

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  7. ABC is an isosceles triangle with AC=BC . If AB^(2)=2AC^(2) , prove t...

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  8. ABC is an equilateral triangle of side 2a. Find each of its altitudes.

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  9. Prove that sum of the squares of the side of a rhombus is equal to th...

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  10. In Fig. 2.54, o is a point in the interior of a triangle ABC,ODbotBC,...

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  11. In Fig. 2.54, o is a point in the interior of a triangle ABC,ODbotBC,...

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  12. A ladder 10 m long reaches a window 8 m above the ground. Find the di...

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  13. A guy wire attached to a vertical pole of height 18 m is 24 m long and...

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  14. An aeroplane leaves an airport and files due north at a speed of 1000...

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  15. Two poles of heights 6 m and 11 m stand on a plane ground. If the di...

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  16. D and E are points on the sides CA and CB respectively of a triangle A...

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  17. The perpendicular from A on side BC of a DeltaABC intersects BC at D...

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  18. In an equilateral triangle ABC , D is a point on side BC such that BD ...

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  19. In an equilateral triangle , prove that three times the square pf one ...

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  20. Tick the correct answer and justify : In DeltaABC,AB=6sqrt3cm, AC=12 c...

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