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

Algebra ->  Formulas -> SOLUTION: If PQ =21cm and QR= 5cm then what are the possible lengths for PR so that (line over)PQ, (line over)QR, and (line over)PR can form a triangle? Explain your reasoning.      Log On


   



Question 112743: If PQ =21cm and QR= 5cm then what are the possible lengths for PR so that (line over)PQ, (line over)QR, and (line over)PR can form a triangle? Explain your reasoning.
Answer by mathnard(10) About Me  (Show Source):
You can put this solution on YOUR website!
PR has to be less than 26. Why? Because if PR is equal to 26, that means you've stretched your two segments PQ and QR into a straight line. That's all the distance you have!
PR also has to be more than 16, because if you start making a smaller and smaller angle until line segment PQ is actually ON line segment QR, the space left for segment PR will be only 16.