Mathematics

Question

Given that ABC ~ DEF, solve for x. [ No random answer or ill report.]

Given that ABC ~ DEF, solve for x. [ No random answer or ill report.]

2 Answer

  • Because we know the 2 triangles are similar, the ratios will be the same for all 3 sides. Find the ratio by dividing 35 by 5 (side AB and DE). The ratio is 7. Divide 42 by 7 to find x. X=6
  • Answer-

    The value of x is 6 units.

    Solution-

    Given that,

    ΔABC ~ ΔDEF.

    If two triangles are similar, then the ratio of the corresponding sides must be same.

    So,

    [tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]

    Also given that,

    AB = 35

    DE = 5

    BC = 49

    EF = x

    Putting the values,

    [tex]\Rightarrow \dfrac{35}{5}=\dfrac{42}{x}[/tex]

    [tex]\Rightarrow x=\dfrac{42\times 5}{35}=6[/tex]

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