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Omni-MATH / Let ABC be a right triangle with hypotenuse AC. Let B^{prime} be the reflection of point B across AC, and let C^{prime} be the reflection of C across AB^{prime}. Find the ratio of …

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problem

Let ABCABC be a right triangle with hypotenuse ACAC. Let $B^{\prime}$ be the reflection of point BB across ACAC, and let $C^{\prime}$ be the reflection of CC across $AB^{\prime}$. Find the ratio of $[BCB^{\prime}]$ to $[BC^{\prime}B^{\prime}]$.
Plain-text mathematical notation (without MathML)
Let ABC be a right triangle with hypotenuse AC. Let $B^{\prime}$ be the reflection of point B across AC, and let $C^{\prime}$ be the reflection of C across $AB^{\prime}$. Find the ratio of $[BCB^{\prime}]$ to $[BC^{\prime}B^{\prime}]$.
Original LaTeX notation
Let $ABC$ be a right triangle with hypotenuse $AC$. Let $B^{\prime}$ be the reflection of point $B$ across $AC$, and let $C^{\prime}$ be the reflection of $C$ across $AB^{\prime}$. Find the ratio of $[BCB^{\prime}]$ to $[BC^{\prime}B^{\prime}]$.

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