SOLUTION: If PQ = 21 cm and QR = 5 cm, then what are the possible lengths for PR so that PQ, QR , and PR can form a triangle? Explain your reasoning.

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Question 394686: If PQ = 21 cm and QR = 5 cm, then what are the possible lengths for PR so that PQ, QR , and PR can form a triangle? Explain your reasoning.
Found 2 solutions by ewatrrr, richard1234:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
third side PR <26cm
Note: the sum of the lengths of two sides of a triangle must be greater than 3rd side
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
The sum of any two sides must be longer than the third side. This means,

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The last inequality, is already implied as so this doesn't limit PR.

Putting the inequalities together, we have .

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