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PQR is a triangle right angled at P and M is a point on QR such that PM `bot` QR . Show that `PM^(2) = QM . MR` .

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`QM xx MB`
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OSWAAL PUBLICATION-TRIANGLES-TEXTBOOK CORNER (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 right angled at C . Prove that AB^(2)=2A...

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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 the figure given below, O is point in the interior of a triangle A...

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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. An aeroplane leaves an airpot and flies due north at a speed of 1,000 ...

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

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