The measures of two sides of a triangle are 8 cm and 15 cm, find the range of the possible values for the third side.

answer choices:

9cm < x < 16cm

7cm < x < 16cm

7cm < x < 23cm

9cm < x < 23cm

The measures of two sides of a triangle are 8 cm and 15 cm, find the range of the possible values for the third side.

answer choices:

9cm < x < 16cm

7cm < x < 16cm

7cm < x < 23cm

9cm < x < 23cm

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Answer:

7cm < x < 23cm

Step-by-step explanation:

If two sides are 8 and 15, the third side will have to be between (15-8)=7 AND (15+8)=23. So, x is a value such that 7<x<23. also x must be greater than 7 because if x=7, then it will go against the property of triangle and 7+8 will be 15, which should be greater than 15. I think the answer is 5.