Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-8 Perimeter, Circumference, and Area - Practice and Problem-Solving Exercises - Page 64: 16

Answer

16

Work Step by Step

Graph the points: We determine MN,NP,PL,LM using the distance formula: MN=$\sqrt (5-3)^2+(1-5)^2$ =$\sqrt 4$ =2 NP=$\sqrt (5-5)^2+(1-5)^2$ =$\sqrt 16$ =4 PL= $\sqrt (5-0)^2+(1-1)^2$ =$\sqrt 25$ =5 LM=$\sqrt (3-0)^2+(5-1)^2$ = $\sqrt 25$=5 Compute the triangle's perimeter:$P_{MNPL}$= MN+NP+PL+LM=2+4+5+5=16
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