View: Text-Only | Mobile

 

 pow-image

Right Perimeter

perimeter

 

You are given a right triangle with integral side lengths (the lengths of the sides are integer values) that has an area of 756 square meters.What is the exact perimeter of the right triangle?

 

October 3, 2005
Past Problems  
pencil

E-mail Solutions to: pow@umassd.edu

   
  Correct Solutions 
 
  1. Andy Ouyang. Black Mountain Middle School, San Diego, CA
  2. Lisa Schechner. Schreiber High, Port Washington, NY
  3. Aristides Kyriakakis.  Thessaloniki. Greece
  4. Abhijeet Singh. Seas, Rai Foundation Colleges, Mumbai, India
  5. Patrick Mc Henry. Gloucester City, NJ
  6. Mark Wintczak. Naperville, IL
  7. Adrian Atanasiu. Bucharest, Romania
  8. Can Oztoprak. Istanbul, Turkey
  9. Leong HoongHan. Bukit Mertajam, Penang, Malaysia
  10. Ashton Simon. Crest Ridge R-VII, Centerview, MO
  11. Emil Lalov. Mathematical High School, Pleven, Bulgaria
  12. Raphael Chalhub. Pan American School of Bahia, Salvador, Bahia, Brazil
  13. Gustavo Amorim. Pan American School of Bahia, Salvador,Bahia, Brazil
  14. Nick Johnson. Lakeview Academy, Gainesville, GA
  15. Pedro Teixeira. Pan American School of Bahia, Salvador, Bahia, Brazil
  16. Radu Ionescu. Montreal, Quebec, Canada
  17. Eugene Roytman. New York, NY
  18. Peter Moynahan. Rye Junior High, Rye, NH
  19. Mr. Cooper's Class. Mt. Tom Academy High School, Holyoke, MA
  20. Steigen Johnson. Pan American School of Bahia, Salvador, Bahia, Brazil
  21. Hana Cookson. West High School, Torrance, CA
  22. Ashton Simon.  Crest Ridge R-VII, Centerview, MO
  23. Chris Money. Carwise middle, Palm Harbor, FL
  24. Michael Fang. Osceola FL, Ocala, FL
  25. Bojan Ili. Prirodno-matematiki fakultet, Niš (Serbia&Montenegro)
  26. Jerome Cherry. Mundare, Alberta
  27. Kathrin Baur. Pan American School of Bahia, Salvador, Bahia, Brazil
  28. Goulas Dimitris. NBG, Larissa, Greece
  29. Albert Zhou.  Scott Middle School, Lincoln, NE
  30. Catherine Cunningham. Creekwood Middle School, Kingwood, TX
  31. Phillip Ai.  Hammarskjold Middle School, East Brunswick, NJ
  32. Neila Bazaracai. North Toronto Collegiate Institute, Toronto, Canada
  33. Genoa Warner. Dartmouth High School, Dartmouth, MA
  34. David Wang. Don Mills C.I, Toronto, ON, Canada
  35. Maggie Schoening. Dartmouth High, MA
  36. Carolyn Merchant. Dartmouth High School, South Dartmouth, MA
  37. Frank McGartland. Saskatoon, SK., Canada
  38. Maggie Schoening. Dartmouth High School, South Dartmouth, MA
  39. Bibi Pereira. Pan American School of Bahia, Salvador, Bahia, Brazil
  40. Brian Chan. Summit Middle School, Coquitlam, BC
  41. Abigail Finger. Dartmouth High School, Dartmouth, MA
  42. Matthew Kestenbaum. Dartmouth High School, Dartmouth, MA
  43. Graham Anderson. Faith Lutheran College, Plainland, Qld Australia
  44. Sarah Chen. Marie Curie Middle School, New York, NY
  45. Seana McKee. Dartmouth High School, Dartmouth, MA
  46. Brian Hetrick. UNH, Durham NH
  47. Allysha Silva. Hastings Middle School, Fairhaven MA
  48. Roger Ouyang. Adobe Bluffs Elementry School, San Diego, CA
  49. Jerrold Greenberg. New York, NY
  50. Asher Tuggle. Colorado Springs, CO
  51. Tonya Anderson. Valencia Community College, Kissimmee, FL
  52. Tara Franz. Blue Mountain Elementary, Maple Ridge, BC, Canada
  53. Charles Keebaugh. Colorado Springs, CO
  54. Bar Greengrass. Israel
  55. Devan Lai. Saratoga High School, Saratoga, CA
  56. Harry Siebert. Infineon, Munich, Germany
  57. Mike Bott. Saigon South International School, Ho Chi Minh City, Vietnam
  58. Seong-Ho Lee. Saigon South International School, Ho Chi Minh City, Vietnam
  59. Chauhan Rakesh. New Delhi, India
  60. Jimmy Kim. South Sigon International School, Ho Chi Minh City, Vietnam
  61. Roland Vyncke. Brugge, Belgium
  62. Taylor Dowlen, Creekwood Middle School, Kingwood, TX
  63. Sahit Bollineni, High Meadow Common Campus, Farmington Hills, MI
  64. Cara Ong. Singapore
  65. Rufus Hallam. Canterbury, England
  66. Anna Li. Sandburg Middle School, Anoka, MN
  67. Omid Kohannim. UCLA, Los Angeles, CA
  68. Becky Britton. St. Luke Middle School, Columbus, GA
  69. Milla Goldenstein. Pan American School of Bahia, Salvador, Bahia, Brazil
  70. Sau Wai. Pan American School of Bahia, Salvador, Bahia, Brazil
  71. Bob Mitchell. Normal, IL
  72. Tanvi Rastogi. Bridgewater-Raritan High School, Bridgewater, NJ.
  73. Jeff Stobbe. Muskego WI
  74. David Friedman. Sippican Elementary School, Marion, MA
  75. Hamilton Hardison.  University of Georgia.  Athens, GA
  76. Helen. NDC. Cleveland, OH
  77. Frank McGartland.  Saskatoon,  SK.,  Canada.
  78. Tony Trongone. Cherry Hill Public Schools
  79. Shengzhi Li. Shrewsbury High School, Shrewsbury, MA
  80. Mary Middlebrook. Valencia Community College, Kissimmee, FL
  81. Tim Poe. Austin TX
  82. Praveen Nandamuru. Brookstone School, Columbus, GA
  83. Tommy Craig. Chaparral High School, Douglas County Schools
  84. Jon Eisenberg. Dartmouth High School, Dartmouth, MA
  85. Matthew Wong. South Pasadena Middle School, South Pasadena, CA
  86. Annelise Broussard. Creekwood Middle School. Kingwood, TX
  87. David Lu. NYC
  88. Katherine Wang. South Pasadena Middle School, South Pasadena, CA
  89. Cong Tian. Sachem North High School, Ronkonkoma, NY
  90. Pascale Philpot. Valencia Community College, Kissimmee FL
  91. Rachel Bier. Dartmouth High, MA
  92. Chris Bendall.
  93. Vincent Dang. Stanton College Preparatory School, Jacksonville, FL
  94. Aashrita Mangu. South Pasadena Middle School, South Pasadena, CA
  95. Sarah Maldonado. Creekwood Middle School, Kingwood, TX
  96. Anhang Zhu. Homestead High School, Cupertino, CA
  97. Brianna Loo. South Pasadena Middle School, South Pasadena, CA
  98. Jeff Grubbs, Harmon Middle School, Aurora OH
  99. Brandon Towers. Harmon Middle School, Aurora, OH
  100. Joon Lee. Saigon South International School, Ho Chi Minh City, Vietnam
  101. Sara Norris. Sauk Centre HS, Sauk Centre, MN
  102. Carl Sedgeman. Sauk Centre HS, Sauk Centre, MN
  103. DeeDee Walker. St. Cloud, FL
  104. Spencer Page. Chaparral High School
  105. Aaron Rose. Hastings Middle School, Fairhaven MA
  106. Josh Gow. Sauk Centre HS, Sauk Centre, MN
  107. Max White. South Pasadena Middle School, South Pasadena, CA
  108. Olivia McGlone. Dartmouth, MA
  109. Aaron Rose. Hastings Middle School, Fairhaven, MA
  110. Jon Lewis. UNB, Fredericton, New Brunswick, Canada
  111. Christian Romero. Carwise Middle School, Palm Harbor, FL
  112. Bryce Ciambella.  Osceola Middle, Ocala, FL
  113. Sagar Patel.  Brookstone School.  Columbus, GA
  114. Danny Gordon. Columbus, GA
  115. Ryan Elmer. Creekwood Middle School, Kingwood, TX
  116. Dave Barron.  Chelmsford High School, Chelmsford, MA
  117. Wu John Ken. Pan American School of Bahia, Salvador, Bahia, Brazil
  118. Ryota Terada. Oak Hall School, Gainesville, FL
  119. Daniel Pyon. South Pasadena Middle School, South Pasadena, CA
  120. Diane Kristiansen. Westwood College, Dallas, TX
  121. Panu Korpela. Naenae Intermediate, Lower Hutt, New Zealand
  122. Alexander Kwok. South Pasadena Middle School, South Pasadena
  123. Caroline Brander. Trinity High School, River Forest, IL
  124. Ben Gieske. Sauk Centre HS, Sauk Centre, MN
  125. Cray Math Project. New Castle, PA
  126. Lorna Ferguson. Chelmsford High School
  127. Katie Miller. Dartmouth High School, Dartmouth, MA
  128. Cristal Peixoto. Dartmouth High School, Dartmouth, MA
  129. Corey Carvalho. Dartmouth High School, Dartmouth, MA
  130. Courtney Potter. Creekwood Middle School Kingwood TX
  131. Andy Sailor. Osceola Middle School, Ocala, FL
  132. Jennifer Sailor. Osceola Middle School, Ocala, FL
  133. Josh Andrews. Chelmsford High School, MA
  134. Mansi Raythatha. Creekwood Middle School, Kingwood, TX
  135. Viveka Mandava. Harmon Middle School, Aurora,OH
  136. Aaron Foreman. Creekwood Middle School, Kingwood, TX
  137. Tiffany Chen. South Pasadena Middle School, South Pasadena, CA
  138. Elle Durkee. Gladstone High School, Gladstone, OR
  139. Tina Berkley. Street School, New Milford, NJ
  140. Avi Dhaliwal. Southridge Secondary School, British Comlumbia, Canada
  141. Ashvin Swaminathan. Harker Elementary School, San Jose, CA
  142. Ted Whang. Newport Senior High School, Bellevue, WA
  143. Ross Caterson. Sydney Technical High School, Australia
  144. Marius Damian. Braila, Romania
  145. Nick Stanford.  Haddam-Killingworth High School, Higganum, CT
  146. Sherif Rofael. Vodafone Academy, Cairo, Egypt
  147. Michael Schra. Merritt Island HS, Merritt Island, FL
  148. Ken Adler. Jacqueline Kennedy Onassis HS, Manhattan, NY
  149. Paul Zive. Willard Intermediate School, Santa Ana, CA
  150. Amanda Tu. Southridge School, Surrey, BC, Canada
  151. Luan Nguyen. Sheppard Middle School, San Jose, CA
  152. Hugh Stewart.
  54% of respondents successfully answered this problem.


 



 Last Updated On: 11/16/05

Contact Info:

Email: webdevelopment@umassd.edu - UMass Dartmouth Web Development Team