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Construct a triangle ABC whose base AB is 24 and altitude CH is 16.

Hence, inscribe a square EPGF (one of whose sides lies along AB) and calculate its area.

My book suggests to use triangle similarity. Please help me to solve it. Thanks in advance.

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$\triangle ABC\sim \triangle FGC$, hence $$\frac{AB}{CH} = \frac{FG}{CH-PG}$$

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