kat332611 kat332611

01-04-2021
Mathematics

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In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle
XYZ?

In the diagram R S and T are all points of tangency What is the perimeter of Triangle XYZ class=

Respuesta :

akposevictor akposevictor

06-04-2021

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

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