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The areas of the two similar triangles are in the ratio of the square of the corresponding medians.

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The area of two similar triangles are in ratio of the squares of the corresponding altitudes.

The area of two similar triangle are in the ratio of the square of the corresponding angle bisector segments

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

The ratio of the the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides/altitudes.

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

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Area of two similar triangles are in the ratio of 5:3 then the ratio of their corresponding sides is :

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VK GLOBAL PUBLICATION-TRIANGLES-LONG ANSWER QUESTIONS
  1. The line drawn from the midpoint of one side of a triangle parallel to...

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  2. ABCD is a trapezium in which AB||DC and its diagonals intersect each ...

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  3. If AD and PM are medians of triangles ABC and PQR, respectively where...

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  4. In Fig. 4.123, ABCD is a trapezium with AB || DC. If Delta AED is sim...

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  5. Prove that the area of an equilateral triangle described on a side of ...

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  6. If the areas of two similar triangles are equal, prove that they ar...

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  7. The areas of the two similar triangles are in the ratio of the square ...

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  8. O is the a point in the interior of Delta ABC, OD bot BC, OE bot AC an...

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  9. The perpendicular from A on side BC of a ABC intersects BC at D such t...

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  10. In an equilateral triangle, prove that three times the square of on...

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  11. Prove that, if a line is drawn parallel to one side of a triangle to i...

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  12. In DeltaABC A = 90^@ and AC | BD, then Show that (a) AB^2=BC.BD (b) A...

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  13. Diagonals of a trapezium ABCD with AB || DC intersect each other at...

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  14. Prove that, in a right triangle, the square of the hypotenuse is equal...

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  15. In a triangle, if the square on one side is equal to the sum of the sq...

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  16. ABC is a triangle in which AB = AC and D is a point on AC such that ...

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  17. Prove that the area of an equilateral triangle described on one sid...

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

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