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In figure, O is a point in the interior...

In figure, O is a point in the interior of a triangle ABC, `O D_|_B C ,O E_|_A C`and `O F_|_A B`. Show that (i) `O A^2+O B^2+O C^2-O D^2-O E^2-O F^2=A F^2+B D^2+C E^2`(ii) `A F^2+B D^2+C E^2=A W^2+C D^2+B F^2`

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The correct Answer is:
`=AE^(2)+BF^(2)+CD^(2)`
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MTG IIT JEE FOUNDATION-TRIANGLES -NCERT Section Exercise 6.5
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  2. Sides of triangles are given below. Determine which of them right t...

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  3. Sides of triangle are given below .Determine which of them are rig...

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

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  5. In Figure 2, Delta ABD is a right triangle, right-angled at A and AC |...

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  6. In the figure , ABD is a triangle right angled at A and AC bot Bd . Sh...

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  7. ABC is an isosceles triangle right angled at C. Prove that A B^2=2A C...

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  8. ABC is an isosceles triangle with AC = BC. If A B^2=2A C^2, prove tha...

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

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  10. Prove that the sum of the squares of the sides of a rhombus is equa...

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  11. In figure, O is a point in the interior of a triangle ABC, O D|B C ,O...

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

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

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

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  15. Two poles of heights 6 m and 11m 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 ...

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  17. The perpendicular from A on side BC of a ABC intersects BC at D such t...

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

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  19. In an equilateral triangle, prove that three times the square of on...

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  20. Tick the correct answer and justify: In DeltaA B CdotAB = 6sqrt(3)cm...

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