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Sardis was drawing a triangle. The first segment he drew was 10 centimeters. The 2nd side he drew was 12 centimeters. How long would the 3rd side have to be to create a triangle? Watch the video for support.

Respuesta :

calculista

Answer:

see the explanation

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

Let

c ----> the measure of the length of the third side

1) [tex]10+12 > c[/tex]

[tex]22 > c\\c < 22 cm[/tex]

2) [tex]c+10>12[/tex]

[tex]c > 12-10\\c >2 cm[/tex]

so

The solution for the length of the third side is the interval (2,22)

All real numbers greater than 2 centimeters and less than 22 centimeters

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