Which three lengths could be the lengths of the sides of a triangle? a) 6 cm, 23 cm, 11 cm b) 10 cm, 15 cm, 24 cm c) 22 cm, 6 cm, 6 cm d) 15 cm, 9 cm, 24 cm

B. cm, cm, cm

Step-by-step explanation:

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of two sides of a triangle must always be greater than the length of the third side

so

where

a,b,c are the lengths sides of the triangle

case A)   cm, cm, cm

Let

Verify

------> ------> is true

------> -------> is not true

therefore

The three lengths of case A) could not be the lengths of the sides of a triangle

case B)   cm, cm, cm

Let

Verify

------> ------> is true

------> -------> is true

-----> --------> is true

therefore

The three lengths of case B) could be the lengths of the sides of a triangle

case C)   cm, cm, cm

Let

Verify

------> ------> is true

------> -------> is true

-----> --------> is not true

therefore

The three lengths of case C) could not be the lengths of the sides of a triangle

case D)   cm, cm, cm

Let

Verify

------> ------> is not true

therefore

The three lengths of case D) could not be the lengths of the sides of a triangle

x=half

step-by-step explanation:

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step-by-step explanation: