Geometry Problem Solving

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ULHA0507

Mathematics

Description

MATH question Geometry problem challeger level .

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Ambitious Challenge The diagram shows a triangle FHG. The point is the midpoint of FG, and HIJK is a square. The line segment intersects GH at L. K H 6cm 8cm What is the area of the shaded quadrilateral HLIK? F G 10cm Ronde
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Explanation & Answer

The solution is ready, please ask if something is unclear.docx and pdf files are identical

Note that the initial triangle FHG is right by inverse Pythagorean theorem (62 + 82 = 102 ).
Therefore HI=FI=IG=5 and the area of the entire square is 25. We need to subtract the
area of the (right) triangle HIL.
The...

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