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The triangle $HIJ$ has the same area as the square $FGHI$.
$FG$ has a length of 4cm.
What is the perpendicular distance from $J$ to the extension of the line $FG$?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Leaning Over
Age 11 to 14
ShortChallenge Level 
The triangle $HIJ$ has the same area as the square $FGHI$.
$FG$ has a length of 4cm.
What is the perpendicular distance from $J$ to the extension of the line $FG$?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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