Can 7.7 cm, 4.0 cm, and 1.7 cm be the side lengths of a triangle?

No, it cannot form the sides of a triangle

Step-by-step explanation:

According to the Triangle Inequality Theorem, the sum of any two sides in a triangle must be greater than the triangle's third length.

We would apply the triangle inequality theorem here to check if the sides length are for a triangle. If any of the inequalities is false,then it cannot be a triangle.

A + B > C

B + C > A

A + C > B

Let A = 7.7,

Let B = 4.0

Let C = 1.7

A + B > C = (7.7+4.0) >1.7

= 11.4 > 1.7

This is true.

B + C > A = (4.0+1.7) > 7.7

= 5.7 < 7.

This doesn't follow the rules.

It's false.

A + C > B = (7.7 +1.7) > 4.0

= 9.4 > 4.0

This is true

Since not all the inequalities are true; the second one is false, therefore a triangle cannot be formed.

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step-by-step explanation:

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step-by-step explanation:

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