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\(b - 3 = 7 \Rightarrow b = 10\) - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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A_{\text{circle}} = \pi c^2 = \pi (2)^2 = 4\pi
For a right triangle, the radius \( c \) of the inscribed circle is gi...
where \( a \) and \( b \) are the legs. But we also know:
A_{\text{triangle}} = \frac{1}{2}ab = r \cdot s
where \( r = c = 2 \) and \( s = \frac{a + b + z}{2} \) is the semi-pe...
Using the identity for right triangles:
c = \frac{a + b - z}{2} \Rightarrow a + b = 2c + z = 4 + 10 = 14
Now, the semi-perimeter:
s = \frac{a + b + z}{2} = \frac{14 + 10}{2} = 12
Then, the area of the triangle is:

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