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O is a point in the interior of ∆ABC. OD...

O is a point in the interior of `∆ABC`. OD,OE and OF are the perpendicular drawn to the sides BC, CA and AB respectively. Prove that
`AF^2+BD^2+CE^2=AE^2+BF^2+CD^2`.

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KALYANI PUBLICATION-PYTHAGORAS THEOREM-EXERCISE
  1. Two poles of height 10 m and 15 m stand vertically on a plane ground. ...

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  2. In Fig.6.45,O is a point in the interior of a triangle ABC,OD|BC,OE|AC...

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  3. O is a point in the interior of ∆ABC. OD,OE and OF are the perpendicul...

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  4. O is any point inside a rectangle ABCD. Prove that OB^2+OD^2=OA^2+OC^2...

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  12. The length of the sides of a triangle are a+b,ab-1 and sqrt((a^2+1)(b^...

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  13. In the triangle ABC, BC = m^2 -n^2, AC =3 mn and AB = m^2+n^2. Prove t...

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  14. The perimeter of two similar triangles are respectively 25cm. and 15 c...

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  16. Corresponding sides of two similar triangles are in the ratio 2:3. If ...

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  17. The areas of two similar triangles ABC and PQR are in the ratio 9:16. ...

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  20. Fill in the gap : All rectangles are .

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