How can you prove that two triangles are similar in a circle?

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temperent9536 temperent9536

27-12-2022
Mathematics

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How can you prove that two triangles are similar in a circle?

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Yogeshkumari Yogeshkumari · Answer 1 · 2023-01-03T04:49:22-05:00

To prove two triangles are similar in the given circles need to prove that intercepted arc formed by the pair of angles should be equal or same.

As given in the question,

Two triangles formed in the circle are similar required following steps to prove it correct:

Pairs of angles should have the same or equal intercepted arc in the given circle.
Angle formed by same or equal intercepted arc are congruent to each other .
Using AA theorem of similarity we can say two triangles formed in the circle are similar if and only if they have same intercepted arc.

Therefore, to prove the two triangles are similar in the circle need to prove they have same intercepted arc formed by the pair of angles.

Learn more about triangles here

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