r = \frac{a + b - h}{2}

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• The area of a right triangle with inradius $ r $ and hypotenuse $ h $ is given by:
• A_{\text{triangle}} = r \cdot \frac{a + b + h}{2}
• But in a right triangle, the inradius is related to the sides $ a, b, h $ by:
• Also, the area of the triangle is:
• However, using the inradius formula, we can express the triangle’s area as:
• A_{\text{triangle}} = r \cdot s \quad \text{where } s = \frac{a + b + h}{2}

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