Find the circumcenter of triangle ABC with A(1,6), B(1,4), and C(5,4).

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Find the circumcenter of triangle ABC with A(1,6), B(1,4), and C(5,4).

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

|dw:1434588974015:dw|
|dw:1434588988805:dw|

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Draw a segment from A to B |dw:1434589038187:dw|
what is the midpoint of this segment?
do you know the midpoint formula @iSpiffy2wice ?
no I dont :/
you add up the corresponding coordinates and then divide by 2
midpoint of A and B x coordinate of A is 1 x coordinate of B is 1 add and divide by 2 (1+1)/2 = 2/2 = 1 so the x coord of the midpoint of AB is x = 1
y coordinate of A is 6 y coordinate of B is 4 add and divide by 2 (6+4)/2 = 10/2 = 5 so the y coord of the midpoint of AB is y = 5
midpoint of AB is (1,5) |dw:1434589451464:dw|
making sense?
yes it is
so what is the midpoint of segment BC ?
3,5/?
B is (1,4) C is (5,4) x coords (x1+x2)/2 = (1+5)/2 = 6/2 = 3 y coords (y1+y2)/2 = (4+4)/2 = 8/2 = 4 the midpoint of BC is (3,4)
|dw:1434589662988:dw|
now that we have the midpoints of AB and BC, we construct the perpendicular bisectors of AB and BC |dw:1434589744838:dw|
the perpendicular bisectors cross at (3,5) so that is the circumcenter |dw:1434589790411:dw|
|dw:1434589818240:dw| my circle is a bit off since things aren't to scale but the circle is centered at (3,5), has a radius of 2 this circle goes through A,B and C
thank you :O
can you help me w/ another?
sure, one more
oh wait, the radius isn't 2, so ignore that portion
is the attached file correct or no? D:
1 Attachment
were you able to find the value of x? if so, what is x equal to?
if were being honest no, I just guessed :/
add up the three sides, and set that equal to 30 5x-7+3x+1+4x = 30 solve for x to get x = ??
i have literally no idea what you just typed DD:
the three sides are AB, BC, and AC |dw:1434590337740:dw|
example: here is segment AB |dw:1434590361550:dw|
I added up AB, BC, and AC then I set all that equal to 30 since that is the perimeter
|dw:1434590403402:dw|
are you able to solve 5x-7+3x+1+4x = 30 for x ?
im trying but i dont really get it :/
12x-6? :-/
do you see how I did AB + BC + AC = perimeter ?
yeah 12x - 6 = 30
add 6 to both sides 12x - 6 = 30 12x - 6+6 = 30+6 12x+0 = 36 12x = 36
what's next?
BC??
snt that what we do next :L
well if 12 times ______ = 36, then what goes in the blank?
3
yep x = 3
we then use this x value to find AB, BC, & AC
For instance AB = 5x-7 AB = 5*3 - 7 ... replace x with 3 AB = 15 - 7 AB = 8 |dw:1434590785410:dw|
what is the length of BC?
it looks like an equilateral so 8 aswell? :L
don't base things off the picture alone my picture isn't to scale
use BC = 3x+1 and plug in x = 3
34? ://
BC = 3x+1 BC = 3*3+1 ... replace x with 3 BC = ???
OH 10
yep AB = 8 BC = 10 |dw:1434590954554:dw|
and finally, how long is AC ?
use the algebraic expression they give you
12?
good |dw:1434591008920:dw|
Rule: with any triangle... the largest angle is opposite the largest side the smallest angle is opposite the smallest side
so itd be |dw:1434590964987:dw| right?
no
|dw:1434591107541:dw|
|dw:1434591138247:dw|
C A B?
correct
In my drawing, all of the angles look the same (maybe 60 degrees?) but again, my drawing isn't to scale so it's not a good idea to base everything off the drawing alone
if anything, the triangle probably looks like this |dw:1434591253370:dw|
thanks for bearing with me and helping me!!
you're welcome

Not the answer you are looking for?

Search for more explanations.

Ask your own question