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Right-angled Midpoints

Age 14 to 16 Short Challenge Level:

$FGH$ is a right angled triangle with shortest sides $FH = 6\text{cm}$ and $FG = 8\text{cm}$.

$I$, $J$, and $K$ are the mid points of the sides $GH$, $FH$ and $FG$ respectively.

What is the perimeter of the triangle $IJK$?

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.