By Pythagoras Theorem the distance between the two centers of the circles exists at 42.8 units.
What is Pythagoras Theorem?
Given:
XZ exists as a common external tangent to circles W and Y.
In the right triangle WYS
By using the Pythagoras Theorem
[tex]$W Y^{2}=W S^{2}+Y S^{2}$[/tex]
we have,
Y Z = 19, WX = 11
WS = XZ = 42 units
YS = Y Z - WX
= 19 - 11 = 8 units
substitute the value in WY,
[tex]$W Y^{2}=42^{2}+8^{2}$[/tex]
[tex]$W Y^{2}=1,828$[/tex]
WY = 42.8 units
The distance between the two centers of the circles exists at 42.8 units.
By using Pythagoras Theorem the distance between the two centers of the circles exists at 42.8 units.
To learn more about Pythagoras Theorem
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