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AMO 2027 Grades 8-9 SET 4 - Self-study Question 13

AMO · AMO 2027 Grades 8-9 SET 4 - Self-study

Question 13

In the diagram, $\triangle PQR$ is isosceles with $PQ=PR$ and $\triangle PRS$ is isosceles with $PS=SR=x$. Also, the perimeter of $\triangle PQR$ is 22, the perimeter of $\triangle PRS$ is 22 and the perimeter of $PQRS$ is 24. What is the value of $x$?

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