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.

Give: Two Circles with Centers p and Q.

To explain: why ΔPQR is Equilateral triangle

In circle with center P.

PQ is radius.

Also PR is radius

In circle with center Q

PQ again radius

and QR is also radius.

Since PQ is radius of both circle.

⇒ Radius of both circles are equal.

⇒ PQ = QR = PR

Therefore, Δ PQR is an Equilateral Triangle as all sides of this triangle are equal.

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step-by-step explanation:

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