Monthly Archives: February 2025

Geometry Challenge – 18

Posted on February 9, 2025 by kevin

Two squares $ABCD$ and $DEFG$ are inscribed inside a unit semi-circle, as shown in the following diagram, with $CD$ and $DE$ on the same line, $A$, $D$, $G$ on the diameter of the semi-circle, and $B$ and $F$ on the … Continue reading →

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Geometry Probability – 4

Posted on February 2, 2025 by kevin

Let $D$ is an interior point inside equilateral $\triangle{ABC}$. Find the probability that the line segments of $AD$, $BD$, and $CD$ are the side of: (1) a triangle, (2) a right triangle, (3) an obtuse triangle, and (4) an acute … Continue reading →

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