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3 years ago

How to find circumcenter of a triangle with vertices.

Mathematics

1 answer:

dusya [7]3 years ago

6 0

Answer:

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter. It is denoted by P(X, Y). The circumcenter is also the centre of the circumcircle of that triangle and it can be either inside or outside the triangle.

Step-by-step explanation:

Steps to find the circumcenter of a triangle with vertices are:

Calculate the midpoint of given coordinates, i.e. midpoints of AB, AC, and BC

Calculate the slope of the particular line

By using the midpoint and the slope, find out the equation of the line (y-y1) = m (x-x1)

Find out the equation of the other line in a similar manner

Solve two bisector equations by finding out the intersection point

Calculated intersection point will be the circumcenter of the given triangle

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Mariana [72]

Hi!

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3 years ago

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aev [14]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover

grigory [225]

Answer:

I think it's 1 1/4 liters of paint for one door

Step-by-step explanation:

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3 years ago

Painting. Quentin can paint the turret on a Queen Anne house in 40 hr. It takes Austin 50 hr to paint the same turret. How long

Lelechka [254]

Answer:

The answer to your question is 22.2 hours

Step-by-step explanation:

Data

Quentin 40 hr to paint a turret

Austin 50 hr to paint a turret

Use proportions to solve this problem

Quentin 1 turret ---------------- 40 hr Austin 1 turret --------------- 50 hr

x ---------------- 1 hr x ---------------- 1 hr

x = 0.025 turret x = 0.02 turret

Then

- In 1 hour they paint 0.025 + 0.02 = 0.045 of the turret

- In 10 hours they paint (10 x 0.025 + 10 x 0.02) = 0.25 + .2 = 0.45

- In 20 hours they paint (20 x 0.025 + 20 x 0.02) = 0.5 + 0.4 = 0.9

- In 22 hours they paint (22 x 0.025 + 22 x 0.02) = 0.55 + 0.44 = 0.99

- In 22.2 hours they paint (22.2 x 0.025 + 22.2 x 0.02) = 0.555 + .0.444 =

0.999

They paint the turret together in 22.2 hours

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3 years ago