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

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

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

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 medians.

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

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

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

R G PUBLICATION-MODEL PAPER 2-EXERCISE
  1. Explain why 7xx6xx5xx4xx3xx2xx1+7 is a Composite Number.

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  2. Prove that 15+17sqrt3 is an irrational number.

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  3. Divide x^4-3x^2+4x+5 by x^2-x+1, find quotient and remainder.

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  4. Without drawing graphs, check whether the following pair of linear equ...

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  5. Find the value of tan 60^@ geometrically.

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  6. Prove that : sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(secthe...

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  7. Show that 6+sqrt2 is irrational.

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  8. On dividing 3x^3-2x^2+5x-5 by a polynomial p(x), the quotient and rema...

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  9. lf costheta-sintheta=sqrt2sintheta prove that costheta+sintheta=sqrt2c...

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  10. Prove that the ratio of the areas of two similar triangles is equal to...

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  11. An army contingent of 1000 members is to march behind an army band of ...

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  12. In a trapezium ABCD, AB is parallel to CD and AB = 2CD. If area of Del...

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  13. If alpha,beta are the zeroes of the polynomial x^2-3x+ 2, then find th...

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  14. Find the sum of all the two-digit natural number which are divisible b...

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  15. Find the value of the middle most term(s) of the arithmetic progressio...

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  16. Prove that the angle between the two tangents drawn from an external p...

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  17. A solid metallic sphere of diameter 21 cm is melted and recast into a ...

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  18. Two tangents PA and PB are drawn to circle with centre O from an exter...

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  19. The angle of elevation of the top of a building from the foot of the t...

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  20. A train travels at a certain average speed for a distance of 63 km and...

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