ChristopherAlvarez13
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.


find the perimeter of ABC
state the postulate or theorem that justifies your answer

50 POINTS!!!

Find The Perimeter Of ABC State The Postulate Or Theorem That Justifies Your Answer 50 POINTS class=

Sagot :

Step-by-step explanation:

BU = AU (Given)

BU = AU = 5 cm

BA = AU + BU

BA = 5 + 5

BA = 10 cm

CT = TA (Given)

CT = TA = 4 cm

AC = CT + TA

AC = 4 + 4 = 8 cm

CV = VB (Given)

CV = VB = 3 cm

CB = CV + VB

CB = 3 + 3 = 6 cm

Now,

Perimeter of ∆ABC = 10 + 8 + 6 = 24 cm

mhanifa

Answer:

  • 24 units

Step-by-step explanation:

See the statements and reasons below:

  • BV = VC, AT = CT, BU = AU                            Given
  • VU, UT and VT are midsegments of ΔABC   Midsegment theorem
  • AC = 2*VU = 2*3 = 6                                        Definition of midsegment
  • BC = 2*UT = 2*4 = 8                                         Definition of midsegment
  • AB = 2*BU = 2*5 = 10                                       Definition of midpoint
  • P = AB + AC + BC                                             Definition of perimeter
  • P = 10 + 8 + 6 = 24                                            Substitution property of equality
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.