7. Given a regular octagon ABCDEFGH, algebraically prove that: $\overrightarrow{AB} + \overrightarrow{AC} + \overrightarrow{AD} + \overrightarrow{AE} + \overrightarrow{AF} + \overrightarrow{AG} + \overrightarrow{AH} = 4\overrightarrow{AE}$ (3 marks)
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Since the octagon is regular, we know that angle ARI is 45 degrees. Therefore, we can use the Pythagorean theorem to find the length of RI: RI^2 = AR^2 - AI^2 Since AR = AC = AD = AE = AF = AG = AH (due to the regularity of the octagon), we can simplify this Show more…
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