Category: Geometry

Which rectangle has a bigger area?

ABCD is a square and G is a point on its diagonal. Obviously, the two colored rectangles have equal area: ab.   What about in the figure below? Problem: ACDB is a rectangle. E is a point on the diagonal.  Which rectangle has a bigger area? GEIA or FEHD? Answer The diagonal divides a rectangle…

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Tangents to Circles Problems

Problem 1 The figure below shows circle A and rectangle ABCD. The measures of segments are indicated. How long is EB? This problem is not that hard. All you need to see is that AB and AE are radius of Circle A. Also, because ABCD is a rectangle, BD = AC. Now, all you need…

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