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Prove that the ratio of the areas of two...

Prove that the ratio of the areas of two similar triangle is equal to the square of the ratio of their corresponding medians.

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Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of the corresponding altitudes of the triangles.

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of the bisectors of the corresponding angles of the triangles. [The end-points of the angular bisectors are on the opposite sides of the angles.]

Prove that the ratio of altitudes of two similar triangles is equal to the ratio of their corresponding sides.

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding medians.

Fill in the gap : The ratio of the areas of two similar triangles is equal to the square of the ratio of their _______.

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding altitudes.

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding angle bisector.

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R G PUBLICATION-TRIANGLES-EXERCISE
  1. If the areas of a similar triangle are equal,prove that they are congr...

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  2. D,E and F are respectively the mid-points of sides AB,BC and CA of tri...

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  3. Prove that the ratio of the areas of two similar triangle is equal to ...

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  4. Prove that the area of an equilateral triangle described on one side o...

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  5. ABC and BDE are two equilateral triangles such that D is the mid-point...

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  6. Sides of two similar triangle are in the ratio 4:9.Areas of these tria...

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

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

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

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

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

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

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

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

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

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

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  17. ABC is an equilateral triangle of sides 2a.Find each of its altitudes.

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

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

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

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