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Alika [10]
3 years ago
7

Which theorem explains why the circumcenter is equidistant from the vertices of a triangle

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
5 0
The circumcenter is the center of the circle which goes through the three vertices of the triangle. Recall that all radii of a circle are congruent, i.e. equal to one another. So this is why the circumcenter is equidistant from the vertices of the triangle. 
Brut [27]3 years ago
3 0

Answer:

The proof is explained in step-by-step explaination.

Step-by-step explanation:

Circumcenter is the point at which the perpendicular bisector of sides of triangle intersects inside the circle.

This points lies inside the triangle as well as circle and the vertices of triangles lies on the circle. As a result the distance from circumcenter and vertices is called to be radius of the circle which is always equidistant from the center.

Hence, circumcenter is equidistant from the vertices of a triangle.  

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SOMEONE PLEASE HELP MEEE!!!! HOW DO YOU DO THIS
UkoKoshka [18]

Answer:

A. 162 m²

Step-by-step explanation:

==>Given:

Isosceles trapezoid with:

base a = 19m

base b = 35m

Perimeter = 74meters

==>Required:

Area of trapezoid

==>Solution:

Recall: the length of the legs of an isosceles trapezoid are equal.

Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)

Let l = leg of trapezoid.

Perimeter = 74m

Sum of parallel sides = a+b = 19+35 = 54m

Thus,

74 = 54 + 2(l)

74 - 54 = 2(l)

20 = 2(l)

l = 20/2 = 10m

Let's find area:

Area = ½(a+b)*h

a = 19

b = 35

h = ?

Using Pythagorean theorem, let's find h as follows:

h² = l² - [(35-19)/2)²

h² = 10² - [16/2]²

h² = 100 - 64

h² = 36

h = √36 = 6m

Area = ½ x (a+b) × h

= ½ × (19+35) × 6

= ½ × 54 × 6

= 27 × 6

Area = 162m²

6 0
4 years ago
I will mark u brainliest please help
musickatia [10]

Answer:

30+(2x+7)+63=180(sum of angles of triangle )

30+2x+7+63=180

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2x=180-100

x=80/2

x=40

6 0
3 years ago
Read 2 more answers
Can you answer C for plan B please. Will mark Brainliest! And 5 stars ✨!
lianna [129]

Answer:

Yes, as the change in y repeats continuously

5 0
3 years ago
How many 1/3 liters are in 4 2/3 liters
jonny [76]

Answer:

14

Step-by-step explanation:

This is a division problem.

We want to find how many 1/3 liters are in 4⅔ liters.

We divide to obtain:

\frac{4 \frac{2}{3} }{ \frac{1}{3} }

Or

4 \frac{2}{3}  \div  \frac{1}{3}

Convert to improper fraction.

\frac{14}{3}  \div  \frac{1}{3}

\frac{14}{3}  \times  \frac{3}{1}

This simplifies to

14

Therefore there are fourteen ⅓ liters in 4⅔ liters

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3 years ago
What decimal is equivalent to 13/10
LUCKY_DIMON [66]

Answer:

1.30

Step-by-step explanation:

because it's 13 / 10 it means that there is a whole number , 13 - 10 equals 3 oh, so you divide 3 from 100

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3 years ago
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