Mathematics
Grade9
Easy

Question

Apply the Hinge theorem and converse and solve the following.

Find the possible value of AC?

  1. 3
  2. 6
  3. 5
  4. 4

hintHint:

>>> Use Hinge's Theorem.

The correct answer is: 6


    Given That;

    A C equals 6 x minus 5
table attributes columnspacing 1em end attributes row cell equals 6 open parentheses 5 over 3 close parentheses minus 5 end cell row cell equals 5 end cell row cell text  As  end text x greater than 5 over 3 comma space A C greater than 5 end cell end table
table attributes columnspacing 1em end attributes row blank end table
    >>> Therefore, the value of AC should be greater than 5. Then, we can opt 6.
     

    A C equals 6 x minus 5
table attributes columnspacing 1em end attributes row cell equals 6 open parentheses 5 over 3 close parentheses minus 5 end cell row cell equals 5 end cell row cell text  As  end text x greater than 5 over 3 comma space A C greater than 5 end cell end table
table attributes columnspacing 1em end attributes row blank end table

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