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15 votes
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-example-1
User Ramin Bateni
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2.7k points

1 Answer

5 votes
5 votes

Given data:

The first given length is AC=53.

The second given length is AB= 45.

The expression for the Pythagoras theorem is,


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

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

Thus, the BC length is 28.

User Elijan
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2.9k points