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expeople1 [14]
3 years ago
8

What are the coordinates of the circumcenter of a triangle with vertices A(−1, 1) , B(5, 1) , and C(−1, −1) ?

Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0
Triangle ABC is a right triangle with vertex A containing the right angle.

You can tell because AB is a horizontal line since A and B have the same y-coordinate, and AC is a vertical line since A and C have the same x-coordinate.

A right triangle in a circumcircle is always in the semicircle, with the centre of the circle lying in the middle of the side opposite the right angle.

So, the circumcenter is the midpoint of BC.

The midpoint of BC is ((5-1)/2, (1-1)/2) = (2, 0)
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If you change this expression to a fraction, 7.25 will be : 20/7.25.
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3 years ago
I need help please.
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$3420

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4 0
2 years ago
Please help me. I will give brainliest.
Ber [7]

Hey!

------------------------------------------------

Points:

(-2, 3) and (3, 0)

------------------------------------------------

Find the slope:

= \frac{y2 - y1}{x2 - x1} \\=\frac{0 - 3}{3 - (-2)}\\= \frac{-3}{5} or -0.8

------------------------------------------------

Slope Intercept Form:

y = mx + b

m = slope

b = y-intercept

Slope = -3/5

Y-intercept = 9/5

Answer: y = -3/5 + 9/5

------------------------------------------------

Point Slope Form:

y - y1 = m(x - x1)

You can use either of the points.

Answer:

y - 3 = -3/5(x - 2)

          or

y - 0 = -3/5(x - 3)

------------------------------------------------

Hope This Helped! Good Luck!

3 0
3 years ago
Read 2 more answers
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