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Novay_Z [31]
3 years ago
11

I need help with geometry.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0
1.

In any trapezoid, the length of the midsegment is \frac{|base_1|+|base_2|}{2}

substituting the known values:

\frac{24+|base_2|}{2}=19

24+|base_2|=38

|base_2|=38-24=14

2.

Notice that since D and have the same y-coordinate, then DE is horizontal, and since F and D have the same x-coordinate, FD is vertical.

Thus FD and DE are perpendicular, so the triangle FED is a right triangle.

The median drawn from the right angle, is equal to half the hypotenuse.

That is, |DO|=1/2 |FE|, thus |OE|=|OF|=|OD|, are all radii of the circle centered at O.

O is the midpoint of EF, and is found by the Midpoint formula:

O=( \frac{1+7}{2} , \frac{5+1}{2} )=(4, 3)


Answer:

1. 14

2. (4, 3)

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