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IKMC 2012 - Grades 11-12 - Paper 01 - Self-study Question 17

IKMC · IKMC 2012 - Grades 11-12 - Paper 01 - Self-study

Question 17

A right-angled triangle has side lengths a, b and c, with legs a and b as shown. What is the radius r of the inscribed semicircle in the figure?

Question illustration
  1. $a(c-a)/(2b)$
  2. $ab/(a+b+c)$
  3. $ab/(b+c)$
  4. $2ab/(a+b+c)$
  5. $ab/(a+c)$