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SMO 2008 Senior Round 1 Question 8

SMO · SMO 2008 Senior Round 1

Question 8

A circle with radius $x$ cm is inscribed inside a triangle $ABC$, where $\angle ACB$ is a right angle. If $AB=9$ cm and the area of triangle $ABC$ is $36\text{ cm}^2$, find $x$.

Question illustration
  1. $2.2$
  2. $2.6$
  3. $3$
  4. $3.4$
  5. $3.8$