Math · AreaVISUAL DISCOVERY 02 OF 1,100

Two Triangles Make a Parallelogram

Starter · about 6 minutes · a little curiosity goes a long way

For grown-ups
Today’s little discovery

A copy of any triangle can rotate beside it. Together they make a parallelogram with the same base and perpendicular height, so one triangle has area base × height ÷ 2.

Point to the perpendicular height; it is not always a sloping side.

This is a learning model. Try the take-home activity together.
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  1. Wonder
  2. Guess
  3. Try it
  4. Discover
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two equal triangles → one parallelogramBase5Height4Half rectangle10
HERE’S A LITTLE WONDER…

Why is a triangle half of base times height?

A triangular garden tile has a matching twin that can turn and fill the missing corner.

No rush. Try an idea and see.