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PQR is a triangle right angled at P and ...

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

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R G PUBLICATION-TRIANGLES-EXERCISE
  1. Sides of triangle are given below.Determine which of them are right tr...

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  2. Sides of triangle are given below.Determine which of them are right tr...

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

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  4. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

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  5. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

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  6. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

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  7. ABC is an isosceles triangle right angled at C.Prove thatAB^2=2AC^2.

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  8. ABC is an isosceles triangle with AC=BC.If AB^2=2AC^2.prove that ABC i...

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  9. ABC is an equilateral triangle of sides 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 equal t...

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

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

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  13. A ladder 10 m long reaches a window 8m above the ground. Find the dist...

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

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

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

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

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  18. The perpendicular from A on side BC of atriangleABC intersects BC at ...

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

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

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