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555-605 (Medium)|   Geometry|               
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GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
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gmatmba12
question on this. If item 1 had an angle other than 30, 45, or 60 (those being the angles that result in 30-60-90 or 45-45-90 triangles), would 1 alone have still been sufficient? For instance, say 1 is 65 degrees, we wouldn't have DS on this piece right?

a^2 + b^2 = 1 ^ 2

We wouldn't have enough to solve A or B in parth. theorem right?

Hi gmatmba12,

Since we know that all 4 sides of the parallelogram are equal to 1, if we have ANY of the 4 angles, then we can determine the area of the parallelogram. With the 'magic' Pythagorean triangles (re: 45/45/90 and 30/60/90), the math work is far easier - but ANY angle would be enough (although we'd end up using Trigonometry rules with any non-magic angles, such as 65).

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