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A quadrilateral is inscribed in a semicircle of diameter $105$

The three shorter sides are of integer lengths in arithmetic progression.

What's the length of the shortest side?

Two unit squares, black and blue, are inscribed inside a trapezoid.

The black square shares a right angle corner and left side with the trapezoid. The blue square is rotated ...

Triangle $ABC$ is inscribed in a circle. Versines (green) are drawn from the midpoints of the sides of the triangle perpendicular to them. They have lengths as shown in this ...

If $ABCD$ is an inscribed quadrilateral in a circle such that $AB$ and $CD$ extend to meet at $E$, $AD$ and $BC$ extend to meet at $F$, ...

$ABC$ is an equilateral triangle. Vertices $A$ and $B$ are on a circle with center $O$ and radius $r$. The circle Intersects $\triangle ABC$ at points $D$ and $F$. If ...

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