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The measure which could be the value of x in centimeters is 6 cm

  • The sum of side lengths of any two sides in a triangle is greater than the length of the third side.

Given:

Side length A = 2 cm

Side length B = 8 cm

Sum of the two sides = 2 cm + 8 cm

= 10 cm

Third side must not be less than difference of the two sides

Difference of the two sides = 8 cm - 2 cm

= 6 cm

Therefore, the third side should be greater than difference of the two side length (6 cm) and less than sum of the two side length(10 cm)

  • From the given options, 9 cm is greater than 6cm and less than 10 cm.

The measure which could be the value of x in centimeters is 6 cm

Complete question below:

A triangle has side lengths of 2 cm, 8 cm, and x cm. Which measure could be the value of x in centimeters?

A. 6

B. 9

C. 10

D. 12

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