A_{\text{triangle}} = r \cdot \frac{a + b + h}{2}
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- Final answer: $ \boxed{1} $
- Question: The hypotenuse of a right triangle is $ h $, and the radius of the inscribed circle is $ r $. What is the ratio of the area of the circle to the area of the triangle?
- The area of a right triangle with inradius $ r $ and hypotenuse $ h $ is given by:
- But in a right triangle, the inradius is related to the sides $ a, b, h $ by:
- r = \frac{a + b - h}{2}
- Also, the area of the triangle is:
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