The right pyramid shown has a square base and all eight of its edges are the same length. What is the degree measure of angle $ABD$?

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The right pyramid shown has a square base and all eight of its edges are the same length. What is the degree measure of angle $ABD$?

AdminMod2 Sep 17, 2017

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Best Answer

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Let all sides have length 1

Distance BD = sqrt(2)

Half of BD = sqrt(2)/2

cos(ABD) = (sqrt(2)/2)/1

ABD = cos^-1(sqrt(2)/2) → 45 degrees

Alan Sep 17, 2017

1⁺⁰ Answers

+33661

+1

Best Answer

Let all sides have length 1

Distance BD = sqrt(2)

Half of BD = sqrt(2)/2

cos(ABD) = (sqrt(2)/2)/1

ABD = cos^-1(sqrt(2)/2) → 45 degrees

Alan Sep 17, 2017

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