Consider the statement 'If AB=10 and BC=4, then AC=14'

[demonsword]

Consider the statement "If AB=10 and BC=4, then AC=14"

A. Draw an instance of the antecedent for which the consequent is true

B. Draw a counterexample to this statement

How do I solve these? Please help~

 

[stapel]

Consider the statement "If AB=10 and BC=4, then AC=14"

A. Draw an instance of the antecedent for which the consequent is true

Pick values of A, B, and C, so that AB = 10, BC = 4, and AC = 14.

B. Draw a counterexample to this statement

Pick values of A, B, and C, so that AB = 10, BC = 4, but AC does not equal 14.

Eliz.

 

[demonsword]

I'm having trouble with counterexample, how can I prove it wrong?? Without changing the numbers, I don't see how

 

[demonsword]

So far I have for A. one line with (A)-10, (B)0, and (C)4 It proves the statement correct

But how can I prove it wrong?

 

[tkhunny]

(-10)*0 = 10? Try that again. Think about that zero.

 

[skeeter]

this is a geometry problem, correct?

A            10             B       4      C
+-----------------------+-----------+

         B
        +
      .  . 4
  10.     +C
A .
+

 

[pka]

Or use

A            10             B       
+---------------+--------+
                C    4