ChristopherAlvarez13
Answered

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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
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