Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Let A, B, C be three points on a circle

with AB = BC. Let the tangents at A and

B meet at D. Let DC meet again

at E. Prove that the line AE bisects the segment

BD. (Hint: Why do we care about a chord bisecting a tangent line?)​

Sagot :

ogorwyne

The proof that the line AE bisects the segment can be seen below.

How to get the proof

Let us have

Γ1  and 2 are the two intersecting circles. to be the circumcircle of the shape ADE. Then we can see that  Γ1 is tangent to the line DB.

A common tangent would have to touch T1 at A and also touch T2 at B

Such that what we would have would be

<ADB = 180◦ − 2<ABD = <ABC = <AEC

This would then tell us that the line is tangent to the segment.

Read more on the circle theorem here:

https://brainly.com/question/19906255

#SPJ1

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.