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Let S be a square, let M and N be the midpoints of two adjacent sides, and let V be the corner of the square that is opposite both M and N. Let θ be the measure of the angle bet…
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Let S be a square, let M and N be the midpoints of two adjacent sides, and let V be the corner of the square that is opposite both M and N. Let θ be the measure of the angle bet…
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Sep 8, 2017
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let S be a square, let M and N be the midpoints of two adjacent sides, and let V be the corner of the square that is opposite both M and N. Let θ be the measure of the angle between the two lines connecting M and N with V. Compute sin(θ).
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Gui Meira
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If we have a basis of 2 units for the length of the side of the square,
then MV = NV = 1
Using pythagoeran theorem
MN = sqrt (MV^2 + NV^2)
MN = sqrt(2)
Therefore,
sin θ = 1 /√2
or
sin θ = √2 / 2
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Sep 14, 2017
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