The lengths of two sides of a triangle are 3 cm and 7cm. what can you conclude about the maximum length of the third side of the triangle?

A. The maximum length of the third side must equal 10 cm
B. The maximum length of the third side must be greater than 10 cm.
C. The maximum length of the third side must be less than 10cm.******
D. The maximum length of the third side must equal 4cm.

yes, or the little sides will not reach the ends

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the maxium length of the thrid side must euqal 10

To determine the maximum length of the third side of a triangle given two side lengths, you can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, you have two side lengths of 3 cm and 7 cm. Now, you need to find the maximum possible length for the third side.

According to the triangle inequality theorem:
Third side < 3 + 7

Simplifying the equation:
Third side < 10

This means that the maximum possible length of the third side must be less than 10 cm. Therefore, the correct answer is option C: The maximum length of the third side must be less than 10 cm.