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22 September, 18:18

Two right triangles are similar. The legs of one of the triangles are 5 and 12. The second right triangle has a hypotenuse with a length of 39. What is the scale factor between the two triangles?

a. 4:3

b. 1:3

c. 2:6

d. 1:2

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Answers (1)
  1. 22 September, 18:54
    0
    b. 1:3

    Step-by-step explanation:

    To find the hypotenuse of the first triangle, use a^2 + b^2 = c^2

    c = sqrt (5^2 + 12^2)

    c = 13

    From here, since they are similar, you can set up a proportion

    13:39

    1:3
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