128k views
0 votes
I need help with geometry.

I need help with geometry.-example-1
I need help with geometry.-example-1
I need help with geometry.-example-2
User Johnny Cox
by
7.5k points

1 Answer

4 votes
1.

In any trapezoid, the length of the midsegment is
(|base_1|+|base_2|)/(2)

substituting the known values:


(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=( (1+7)/(2) , (5+1)/(2) )=(4, 3)


Answer:

1. 14

2. (4, 3)
I need help with geometry.-example-1
User Girish Kolari
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories