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27 August, 21:53

The ratio of the perimeters of two similar triangles is 4:7. The sides of the larger triangles are 10, 12, and 13cm,

respectively. What is the perimeter, in centimeters, of the smaller triangle?

0

O

O

26

20

7

O

11

+2
Answers (1)
  1. 27 August, 22:36
    0
    Perimeter = 20cm

    The perimeter is 35 for the larger triangle = 7:4 ratio

    the perimeter for the smaller triangle = 4:7 ratio

    We add up 4+7 = 11 and multiply 35 x 2 = 70.

    so that the smaller triangle = 40 = 40:70

    35 = 7 and 20 = 4

    To find measurements of 20

    we have any number over 10 combined will make the smaller sides possible,

    Where hypotenuse would be under 10.

    H = 6.5 Sides = 6 + 5 does not add up to 20

    H = 9 Sides = 7 + 4 does have near equal spaced symmetry.

    H = 9 Sides = 5 + 6 is wrong as no symmetry in measure

    H = 8 Sides = 7 + 5 is wrong as no symmetry in measure

    H = 7 Sides = 6 + 7 is wrong as equal sides

    H = 6 sides = 6.5 + 6.5 is wrong as equal sides

    H = 11 Sides = 6 + 3 is wrong has no symmetry.

    The measurements must be 9cm, 7cm and 4 cm for the smaller triangle

    The perimeter adds up to 20cm.
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