a + b - 25 = 10 \Rightarrow a + b = 35
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- Solution: Let the hypotenuse be $ z = 25 $ m, and the inradius be $ c = 5 $ m. For a right triangle, the area $ A $ is given by:
- Also, the inradius $ r $ of a right triangle is:
- Given $ r = 5 $, we have:
- Now, use the Pythagorean theorem:
- a^2 + b^2 = 25^2 = 625
- We now solve the system $ a + b = 35 $, $ a^2 + b^2 = 625 $. Use identity:
