Mathematics

Question

If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?

Use numerals instead of words.If necessary, use / for the fraction bar(s).
If ∆ABC and ∆GEF are congruent, the value of x is___?  and the value of y is ___? Use numerals instead of words.If necessary, use / for the fraction bar(s).

2 Answer

  • Answer-

    The value of y is 6 units.

    Solution-

    Given ∆ABC ≅ ∆GEF

    If two triangles are congruent, then the corresponding sides are also congruent.

    So,

    EF = BC, GF = AC

    Putting the values,

    [tex]\Rightarrow x-y=4[/tex] --------------1

    [tex]\Rightarrow x-8=2[/tex]

    [tex]\Rightarrow x=10[/tex] --------------------2

    Putting the values of x in equation 1,

    [tex]\Rightarrow 10-y=4[/tex]

    [tex]\Rightarrow y=10-4=6[/tex]

    Therefore, the value of y is 6 units.

  • Answer:

    x=10 and y=6

    Step-by-step explanation:

    he explained it above/below but only provided one answer

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