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Prove that the areas of two similar tria...

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

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

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

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

If the altitude of two similar triangle are in the ratio 2:3 what is the ratio of their areas?

The area of two circles are in the ratio 4:9.The ratio of their circumference is

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

KALYANI PUBLICATION-AREA OF SIMILAR TRIANGLES-EXERCISE
  1. /\ABC~/\DEF and their areas are respectively 64 cm^2 and 121 cm^2. If ...

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  2. ABC is a triangle. D and E are two points on AB and AC respectively su...

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  3. /\ABC~/\DEF and their areas are respectively 64 cm^2 and 169 cm^2. If ...

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  4. If triangle ABCis similar to triangleDEF such that BC = 4 cm, EF = 5 c...

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  5. The areas of two similar triangles ABC and PQR are in the ratio 9:16. ...

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  6. ABC is a triangle. D and E are two points on AB and AC respectively su...

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  7. A line DE is parallel to the base BC of /\ABC which meets side AB and ...

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  8. A line LM is drawn parallel to the base BC of /\ ABC which meets side ...

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  9. A line LM is drawn parallel to the base BC of /\ ABC which meets side ...

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  10. ABC is a triangle of area 256 cm^2. XY is drawn parallel to BC meeting...

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  11. Prove that the areas of two similar triangles are in the ratio of the ...

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  12. Prove that the areas of two similar triangles are in the ratio of the ...

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  13. Prove that the areas of two similar triangles are in the ratio of the ...

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  14. If the areas of a similar triangle are equal,prove that they are congr...

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  15. The areas of two similar triangles are 81 cm^2 and 49 cm^2 respectivel...

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  16. The areas of two similar triangles are 121 cm^2 and 64 cm^2 respective...

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  17. If /\ABC~/\DEF in which AX and DY are the bisector of /A and /D respe...

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  18. Prove that area of the equilateral triangle described on the side of ...

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  19. ABCD is a trapezium in which AB||DC and AB= 2DC. Determine the ratio o...

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  20. In a trapezium ABCD, O is the point of intersection of AC and BD, AB||...

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