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MathematicsMathematics
23 August, 13:54

If triangle ABC is similar to triangle DEF, then what is the value of x?

Triangle A B C and triangle D E F are drawn. Side A C is labeled 6. Side B C is labeled 10. Side D F is labeled x. Side E F is labeled 5.

2

3

25/3

12

If triangle ABC is similar to triangle DEF, then what is the value of x?

Triangle A B C and triangle D E F are drawn. Side A C is labeled 6. Side B C is labeled 10. Side D F is labeled x. Side E F is labeled 5.

2

3

25/3

12

+3
Answers (1)
  1. 23 August, 17:38
    0
    AC / BC = DF / EF

    AC = 6

    BC = 10

    EF = 5

    DF = x

    time to sub

    6/10 = x/5 ... this is a proportion, so we cross multiply

    (10) (x) = (6) (5)

    10x = 30

    x = 30/10

    x = 3 <===DF = 3
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Home » Mathematics » If triangle ABC is similar to triangle DEF, then what is the value of x? Triangle A B C and triangle D E F are drawn. Side A C is labeled 6. Side B C is labeled 10. Side D F is labeled x. Side E F is labeled 5.
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