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Home » Shocking Twists in Simpsons Episodes You Thought You Knew—Here’s the Scoop! - Abbey Badges

Shocking Twists in Simpsons Episodes You Thought You Knew—Here’s the Scoop! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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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:
A_{\text{triangle}} = r \cdot s = 2 \cdot 12 = 24
Now, the ratio is:
\frac{A_{\text{circle}}}{A_{\text{triangle}}} = \frac{4\pi}{24} = \fra...
Since the rectangle is inscribed in a circle, the diagonal is the diam...
Compute the diagonal using the Pythagorean theorem:

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