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A circle passing through the vertex C of...

A circle passing through the vertex C of a rectangle ABCD and touching its sides AB and AD at M and N, respectively. If the distance from C to the line segment MN is equal to 5 units, then find the area of the reactangle ABCD.

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To solve the problem, we need to find the area of rectangle ABCD given that a circle passes through vertex C and touches sides AB and AD at points M and N, respectively. The distance from point C to line segment MN is given as 5 units. ### Step-by-Step Solution: 1. **Understanding the Geometry**: - Draw rectangle ABCD with vertices A, B, C, and D. - The circle touches side AB at point M and side AD at point N. - The distance from point C to line segment MN is given as 5 units. ...
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