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2 years ago

prove that if two circles are tangent externally then the common internal tangent bisects a common external tangent.

Mathematics

1 answer:

Scilla [17]2 years ago

5 0

Explanation:

Consider the attached diagram.

Circles A and B have mutual tangents CF and DE that intersect at point F.

We know that the two tangents to a circle from an external point are congruent, so ...

FE≅ FC

FD ≅ FC

By the transitive property of congruence, both segments congruent to FC are congruent to each other:

FD ≅ FE

Therefore, CF is a bisector of DE.

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gayaneshka [121]

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Explanation:

The formula to determine the average rate of change is given by

Average rate of change = $\frac{y_2-y_1}{x_2-x_1}$

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2 years ago

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3 years ago

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