# SOLUTION: Which measures would be the side lengths of a right triangle? A. 2 cm, 5 cm, 7 cm B. 9 cm, 14 cm, 17 cm C. 7 cm, 17 cm, 24 cm D. 5 cm, 12 cm, 13 cm

Algebra ->  Algebra  -> Triangles -> SOLUTION: Which measures would be the side lengths of a right triangle? A. 2 cm, 5 cm, 7 cm B. 9 cm, 14 cm, 17 cm C. 7 cm, 17 cm, 24 cm D. 5 cm, 12 cm, 13 cm       Log On

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 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Question 597439: Which measures would be the side lengths of a right triangle? A. 2 cm, 5 cm, 7 cm B. 9 cm, 14 cm, 17 cm C. 7 cm, 17 cm, 24 cm D. 5 cm, 12 cm, 13 cm Found 2 solutions by rapaljer, AnlytcPhil:Answer by rapaljer(4667)   (Show Source): You can put this solution on YOUR website!It it is a right triangle, then by Theorem of Pythagoras, . In this case, this is true ONLY in D. 5 cm, 12 cm, 13 cm. For additional explanation on THEOREM of PYTHAGORAS, see my non-traditional explanation that is available FREE on my own website. The easiest way to find the website is to use the easy to spell and easy to remember link www.mathinlivingcolor.com. On this single page website, there is a link at the bottom of the page that takes you to my Homepage. Near the top of my homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time", and choose Basic Algebra (Chapter 2). Look for Section 2.10 THEOREM OF PYTHAGORAS. There you will find explanations that may be easier to understand than your traditional textbooks, and many of the exercises from these sections are solved in color on the "MATH IN LIVING COLOR" pages that go with these sections. If you like my website, please tell your friends and family. It's all FREE. You can contact me by Email at rapaljer@seminolestate.edu. Dr. Robert J. Rapalje, Retired Professor of Mathematics Seminole State College of Florida Answer by AnlytcPhil(1276)   (Show Source): You can put this solution on YOUR website!```We check each to see if the Pythagorean equation is true or false: + = A. 2 cm, 5 cm, 7 cm 2² + 5² = 7² 4 + 25 = 49 29 = 49 False, so A is not the correct choice B. 9 cm, 14 cm, 17 cm 9² + 14² = 17² 81 + 196 = 289 277 = 289 False, so B is not the correct choice C. 7 cm, 17 cm, 24 cm 7² + 17² = 24² 49 + 289 = 576 338 = 576 False, so C is not the correct choice D. 5 cm, 12 cm, 13 cm 5² + 12² = 13² 25 + 144 = 169 169 = 169 True, so D is the correct choice Edwin```
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