(09.02 LC)

Mathematics

2 answers:

34kurt3 years ago

5 0

Is this for a virtual school?

ohaa [14]3 years ago

4 0

Answer: Answer:

Use the perpendicular bisectors to find the center of the circle.

Explanation:

A circle circumscribed about a triangle passes through the three vertices of the triangle.

The distance from each vertex to the center of the circle is the radius of the circle: each vertex of the triangle is at the same distance from the center of the circle.

All the points on the perpendicular bisector of a side of the triangle are at the same distance from the two vertices that define that side.

Thus, where the three perpedicular bisectors intersect each other is a point (the only one) at the same distance from the three vertices of the triangle, i.e. the center of the circle.

Hence, once the center of the circle is found, you can use a compass to draw the circle that passes through the three vertices of the triangle to construct the circle circumscribed about the triangle.

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Step-by-step explanation:

You might be interested in

Find the distance between the points E(3,7 and F (6,5)

bazaltina [42]

Answer:

3.605

Step-by-step explanation:

(6-3)2+(5-7) 2
(3)2+(-2)2
(9+4)
(13)
= 3.60551

or 3.6

or 3.605

4 0

3 years ago

I NEED HELP PLEASE, THANKS! :)

Maksim231197 [3]

Answer:

Option B

Step-by-step explanation:

First identify which options are a match for the hyperbola with a foci of (- 12, 6) and ( 6, 6 ). If there is only one, we can claim that that is the solution. Otherwise we would have to take the vertices into account,

The first option can be eliminated as it is present with a decimal in the denominator, indicating that the foci should also be a decimal. However, the foci of this option should be valuable to us -

$\left(h+c,\:k\right),\:\left(h-c,\:k\right),\\\left(-3+c,\:6\right),\:\left(-3-c,\:6\right),\\c = ( About ) 3.6,\\\\Foci = \left(0.55808 ,\:6\right),\:\left(-6.55808,\:6\right)$