Respuesta :

Answer:

9.9 cm

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of CY

a^2 + b^2 = c^2

CY^2 + YZ^2 = CZ^2

YZ = XY  since CZ is the perpendicular bisector

YZ = 5

CZ = 7

CY ^2 + 5^2 = 7^2

CY^2 +25 = 49

Subtract 25 from each side

CY^2 = 49-25

CY^2 = 24

Take the square root of each side

sqrt(CY^2) = sqrt(24)

CY = 4.898979

CY = 4.9 cm

We want the length of WY

WY = WC + CY

WC is a radius which is 5 cm

WY = 5cm + 4.9cm

WY = 9.9 cm

Answer:

We should work backwards we need to find YC+CW to get YW

angle bisector theorem means that ZC and XC are equal

then we can use the Pythagorean theorem to get YC

5^2 + x = 7^2

YC= √13

CW = 7 because they are both the radius of a circle

YW= 7+√13

YW=10.60 (rounded)