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The perpendicular from A on side BC of a `DeltaABC` intersects BC at D such the DB = 3 CD . Prove that 2 `AB^(2)=2AC^(2)+BC^(2)`

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The correct Answer is:
`2 AB^(2) = 2 AC^(2) + BC^(2)`
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CPC CAMBRIDGE 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. ABC is an isosceles triangle right angled at C . Prove that AB^(2)=2A...

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

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

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

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  8. In fig . O is a point in the interior of a triangle ABC , OD bot BC ,...

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

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

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  11. A stone is dropped from a height of 100 m and at the same time another...

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

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

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

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

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

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  17. In Delta ABC ,AB = 6 sqrt(3) cm AC = 12 cm and BC = 6 cm . The an...

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