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Not necessarily.

All one can say about "any rectangle" is that the opposite triangles are of equal areas.... that does not mean that adjacent ones do.

So, in a rectangle ABCD, with diagonals which cross at E

ABE = CDE

and

ADE = BCE

but

ABE may not be equal to ADE

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Q: Do the four triangles made to form a rectange have the same area?
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