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the ratio of the corre. sides of 2 similar triangles...?

the ratio of the corresponding sides of 2 similar trianges is 5 to 9. what is the ratio of their areas?

5 Answers

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  • 2 decades ago
    Favorite Answer

    since the base of one triangle is 9/5 of the other, the height of this triangle is also 9/5 of the other.

    area1 = (base)(height)/2

    therefore area2 = ((9/5)base)((9/5)height)/2

    = (9/5)^2 [(base)(height)/2]

    therefore the area of the larger triangle will be (9/5)^2 = 81/25 times that of the smaller triangle

  • Anonymous
    2 decades ago

    hmm...

    Assume that the smaller triangle's area is 5, and that they are isosceles. In this case, the height is 2. So, with a scaling ratio if 5:9, multiply 2 by 9/5 to get your new height of 3.6.

    9 * 3.6 / 2 equals 16.2, so that is your new area. Divide 16.2 by 5 to get your area ratio of 3.24:1.

    The following is the same for all other triangles. Try it!

  • Aastha
    Lv 4
    2 decades ago

    ratio is 25:81 because ratio of areas of two similar triangles is equal to ratio of squares of corresponding sides. To get latest question papers on this topic visit http://www.cbsemath.com/

  • Vivek
    Lv 4
    2 decades ago

    The area of two similar traingle is proportional to the square of corresponding sides .It can be proved .

    Hence the answer will be 25: 81.

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  • MsMath
    Lv 7
    2 decades ago

    (5^2) to (9^2)

    25 to 81

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