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IgorLugansk [536]
3 years ago
13

The legs of a triangle measure 13 centimeters and 17 centimeters. Which of

Mathematics
1 answer:
Mice21 [21]3 years ago
3 0

Answer:

C. 29 cm

Step-by-step explanation:

  • <em>We need to use The Triangle Inequality Theorem, which  states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.</em>

<u>Now let's compare the given measures vs answer choices.</u>

So, we have legs of 13 cm and 17 cm

Sum of two legs equal to 13 cm+ 17 cm= 30 cm

Now, the answer options:

--------------

  • A. 31 cm

No, as 31 cm> 30 cm, one leg is greater than sum of other two legs, which is not possible

--------------

  • B. 4 cm

No, as 13 cm + 4 cm = 17 cm, sum of two legs equal to third leg

--------------

  • C. 29 cm

Yes, as 29 cm < 30 cm and the other pairs of legs, when summed up give greater number than the remaining leg.

  • 1. 13+17 > 29
  • 2. 13+29 > 17
  • 3. 17+29 > 13

--------------

  • D. 30 cm

No, as 30 cm is equal to sum of other legs

--------------

As we found out, the answer is C. 29 cm

Hope it makes sense now

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