1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lana66690 [7]
3 years ago
14

When constructing a circle inscribed in a triangle, what is the purpose of constructing a perpendicular segment from the incente

r to a side of the triangle?
To determine the center of the circle
To determine the radius of the circle
To connect the midpoints of each side of the triangle
To connect the arc markings from the angle bisectors

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0
Please refer to the picture I've attached.

When a circle is inscribed in a triangle, it means that the circle is drawn inside a triangle such that the midpoints of each side of the triangle are tangent to the circle. By doing this, you draw the biggest circle that could fit inside a triangle.

Now, the circle and the triangle have the same center illustrated here by the red dot. When you connect all sides of the triangle to the center (yellow lines), you create three equal angles. This is equal to 360 (one revolution) divided by 3, equals 120°. But when you create a perpendicular bisector from the center (black line), the angle is halved. It will now be 120/2 = 60°. Usually you are given the sides of the triangle. By using pythagorean theorems, you can find, therefore, the radius of the circle. To illustrate, the radius is equal to (s/2)/tan60.

Thus, the answer is: <span>To determine the radius of the circle.</span>

You might be interested in
Algebra 2 HELP ASAP WILL MARK BRANLIEST ANSWER thank you in advance
Georgia [21]
1.b
2.c
3.b
i am truly sorry if im wrong.
8 0
3 years ago
Read 2 more answers
Elizabeth is draining the water from a public pool. The pool is being drained at a rate of 714 gallons per hour. Which graph app
Finger [1]
B
because its draing at a speed of 5000 with 714 plus I took the test and got it right
8 0
3 years ago
What is the best price?
skad [1K]

Answer:

1 bag

Step-by-step explanation:

because the other ones are more expensive

3 0
3 years ago
Two numbers have a sum of -15 and a<br> product of -100. What are the numbers?
Bumek [7]

Answer:

the numbers are -20 and 5

Step-by-step explanation:

4 0
2 years ago
HELP!!!!
Nonamiya [84]
Your answer is E. $25.

First let under 12 = u, over 12 = o, and adults = a.
We can now write the equations:

2u + 3a + 3o = 174
4u + 2a = 122
a + o = 46

Because we know that a + o = 46, and 3a + 3o is in the first equation, we can multiply 46 by 3 to get what 3a + 3o equals. This makes 138.
Now we can substitute 138 into the first equation to get 2u + 138 = 174
2u = 36
u = 18

Now that we know what u equals, we can substitute it in to the second equation to get:
4(18) + 2a = 122
72 + 2a = 122
2a = 50
a = $25

I hope this helps! Let me know if you have any questions :)
8 0
3 years ago
Other questions:
  • Brandon bought a gallon of paint that covers 160 square feet. He wants to paint a wall that is 10 ft. high and 12 ft. wide. Expl
    5·1 answer
  • Which equation is in point-slope form and is depicted by the line in this graph?
    9·1 answer
  • A farmer grows two types of grain in his fields. He has a seed budget of $18,000.00 and has spent $8,100.00 to plant wheat seed
    10·2 answers
  • Find the values of x and y.
    13·1 answer
  • Im new to this, and feeling hopeless '-'
    8·1 answer
  • When Sharon begin shopping this morning, she have $40. she purchased 5 paperback books and had lunch. The books were all the sam
    9·1 answer
  • Help!!! IXL! plzzzzzz.Quick
    6·2 answers
  • HELP PLEASE!!!! ONLY ANSWER IF YOU KNOW, WILL GIVE BRAINLIEST!!!!
    13·2 answers
  • 1. A decorative rug in an office building has
    7·1 answer
  • Quadrilateral GABE is a square.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!