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In ∆ABC , AD | BC such that AD^2 = BD.CD...

In `∆ABC` , `AD _|_ BC` such that `AD^2 = BD.CD`. Prove that `∆ABC` is right angled at A.

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KALYANI PUBLICATION-PYTHAGORAS THEOREM-EXERCISE
  1. ABC a right angle triangle, right angled at B. AD and CE are the media...

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  2. P and Q are points on the sides CA and CB of a ∆ABC , right angled at...

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  3. In ∆ABC , AD | BC such that AD^2 = BD.CD. Prove that ∆ABC is right ang...

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  4. ∆ABC is a right angled triangle right angled at A and AD | BC. Prove t...

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  5. ∆ABC is a right angled at B and D is mid-point of BC. Prove that AC^2 ...

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  6. ∆PQR is right angled at Q and the points S and T trisect the side QR. ...

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  7. In an equilateral triangle, prove that three times the square of one s...

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

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  9. ∆ABC is right angled at C and CD | AB. If BC = a , CA=b , AB = c and C...

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  10. Of triangle ABC,angleB=90^@ and BD|AC.IF AB=c,BC=a,CA=b and BD=p then ...

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

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  12. Two poles of height 10 m and 15 m stand vertically on a plane ground. ...

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

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

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

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  16. Prove that the sum of the squares of the sides of a rhombus is equal t...

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  17. A ship rail 25 km due south and then 60 km due west. How far it is the...

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  18. B is due west of A and C is due north of B. If the distance between B ...

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  19. A man travels 27 km due south then 24 km due west. Finally 20 km due n...

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

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