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Could 10.6\text{ cm}, 5.6\text{ cm},10.6 cm,5.6 cm,10, point, 6, space, c, m, comma, 5, point, 6, space, c, m, comma and 4.0\text{ cm}4.0 cm4, point, 0, space, c, m be the side lengths of a triangle?

Respuesta :

Since we know that triangle inequality theorem states that sum of any two sides of a triangle must be greater than third side.

Now let us see if it is true for our given side lengths.

[tex]10.6+5.6>4.0[/tex]

[tex]16.2>4.0[/tex]

Now let us try with another pair.

[tex]5.6+4.0>10.6[/tex]

[tex]9.6<10.6[/tex]

We can see that sum of 5.6 and 4 is less than 10.6. Therefore, 10.6 cm, 5.6 cm and 4.0 cm can not be side lengths of a triangle.

Answer:

No.

Step-by-step explanation: Khan Academy

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