In the picture there are two parallelograms. How can I prove they have the same area?
Prove that two parallelograms have the same area
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$\begingroup$
geometry
2 Answers
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Look at the triangle $BFG$ and argue that it has area equal to half of both parallelograms area.
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0I have proved it. What next should I do? – 2017-01-18
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0It follows that these parallelograms have equal areas because their halves are equal. In other words, if $\frac 12 a = \frac 12 b$, then $a=b$. – 2017-01-18
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Sliding the red parallelogram to the green one, and then the blue.
