Hey guys so im having a hard time proving why this triangle is equivalent. i just dont understand why it is. could someone answer the question in paragraph form?while constructing an equilateral triangle or a regular hexagon inscribed in a circle, you may have noticed that several smaller equilateral triangles are formed, like △pqr shown in the figure below. explain why △pqr is an equilateral triangle.

Triangle PQR is an equilateral triangle because all of its sides are the same. We can prove this firstly by seeing that side PR = side PQ, as they are both the radius of circle P.

To find side RQ, we can see that the radius of circle P is equal to that of circle Q, as the centre of circle Q lies on the circumference of circle P. This means that side RQ must also be equal to the radius of circle P, which makes it the same as both side PR and side PQ. Therefore, all sides are the same and it is an equilateral triangle.

I hope this helps! Let me know if you have any questions :)

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