TigerlilyH398224 TigerlilyH398224
  • 03-11-2022
  • Mathematics
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what would the length of segment BC have to be in order for line BC to be tangent to circle

what would the length of segment BC have to be in order for line BC to be tangent to circle class=

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EricssonG25221 EricssonG25221
  • 03-11-2022

Given data:

The first given length is AC=53.

The second given length is AB= 45.

The expression for the Pythagoras theorem is,

[tex]\begin{gathered} AB^2+BC^2=AC^2 \\ (45)^2+BC^2=(53)^2 \\ BC^2=784 \\ BC=28 \end{gathered}[/tex]

Here, consider only positive sign of BC length as side cannot negative.

Thus, the BC length is 28.

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