I need to find the area of the shaded part. I have the height of the triangle. But I dont know how to get the base of the triang
le so I can figure out the area of the triangle.
1 answer:
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Decoding the LaTeX that didn't render, we seek sum of the angles of the seventh roots of
That's on the unit circle, 45 degrees into the third quadrant, aka 225 degrees.
The seventh roots will all be separated by 360/7, around 51 degrees. The first seventh root has
That's around 32 degrees.
The next angle is
The next one is
and in general
The first sum is just -135° since it's one seventh of the sum of seven -135s.
We have 1+2+3+4+5+6+7 = (1+7)+(2+6)+(3+5) + 4 = 28 so
If I didn't screw it up, that means the answer is
Answer: 1305°