Question
In ΔPQR,PQ=QR and O is an interior point of ΔPQR such
that ∠ OPR= ∠ ORP . Consider the following statements: (i) ΔPOR is an isosceles triangle. (ii) O is the centroid of ΔPQR. (iii) ΔPQO is congruent to ΔRQO. Which of the above statements are correct?Solution
△PQR will be an isoceles triangle, so Ist statement is true. O is the centroid of △PQR, is not found, so second statement is false. △ PQO ≅ △RQO with the condition (Side side side) PO = OR PQ = RQ OQ = OQ So, statement iii, is also true.
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