Question

Find the perimeter of ABC

state the postulate or theorem that justifies your answer

50 POINTS!!!

Answer 1

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

Answer 2

• 24 units

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