MathDB
Geometry finding area

Source: 2024 KJMO round 1

October 26, 2024
geometryarea

Problem Statement

There is a square ABCD. ABCD. P P is on ABˉ\bar{AB} , and QQ is on ADˉ \bar{AD} They follow APˉ=AQˉ=ABˉ5 \bar{AP}=\bar{AQ}=\frac{\bar{AB}}{5} Let H H be the foot of the perpendicular point from A A to PDˉ \bar{PD} If ∣△APH∣=20 |\triangle APH|=20 , Find the area of △HCQ \triangle HCQ .
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