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
IceJOKER [234]
3 years ago
11

Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.​

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0

Answer:

Step-by-step explanation:

Properties of a circumcenter;

1). Circumcenter of a triangle is a point which is equidistant from all vertices.

2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.

From the picture attached,

9). AG = GB = GC = 21

10). BC = 2(DC)

            = 2×16

            = 32

11). By applying Pythagoras Theorem in ΔGFB,

     GB² = GF² + FB²

     (21)² = GF² + (19)²

     441 = GF² + 361

     GF² = 441 - 361

     GF = \sqrt{80}

     GF = 8.9

12). By applying Pythagoras theorem in ΔGDB,

     GB² = DG² + BD²

     (21)² = (DG)² + (16)² [BD = DC = 16]

     DG² = 441 - 256

     DG = √185

     DG =  13.6

You might be interested in
Please Help!! I am behind in my class and I don’t know how to do this!!
lubasha [3.4K]

Answer:

emmm nose ponga lo en español para ayudarles

7 0
3 years ago
Compare the decimals 16.30 and 16.3
pshichka [43]
16.30 and 16.3 equal. If you ever have a problem like that then you just add on a zero.

Example:
19.4500 = 19.45 Just add two zeros on the end
19.45 + two zeros = 1.4500
8 0
3 years ago
PLEASE HELP AS SOON AS POSSIBLE WILL GIVE BRAINLIEST
allsm [11]

The answer and work is in the SS below

3 0
3 years ago
Read 2 more answers
Y=-1/2x+1 and y=1/3+6
-Dominant- [34]
If your teacher taught rise over run, then for the graphs:

y=-1/2x+1
start at y intercept of 1, then down 1, right 2 all the way, same for the other side but reversed.

y= 1/3+6
start at y intercept of 6, then up 1, right 3 all the way, same for the other side but reversed.

One solution: (-6,4)
4 0
3 years ago
Read 2 more answers
Help me please!!! And thank you!!!!
katen-ka-za [31]
<h2>Answer:</h2>

The last answer - 9x squared y squared

<h2></h2>

8 0
2 years ago
Other questions:
  • The expression x^3-64 can be written as (x)^3-(4)^3. what is the factorization of x^3-64?
    9·1 answer
  • 3b=4a. 2c=5c.<br> find a:b:c
    15·1 answer
  • I AM OFFERING 50 POINTS FOR THIS ANSWER. PLEASE HELP ME !
    7·1 answer
  • How do you say 9.954 in word form
    13·2 answers
  • first, measures the triangle's angles. They are all 60 degrees. Then, measures the sides. Side 1 is 6 cm long. Side 2 is also 6
    5·1 answer
  • Compute the Gross Pay for these situations:
    8·1 answer
  • The time required to complete a job varies inversely as the number of people working.
    9·1 answer
  • What theorem can be used to prove the triangles are congruent
    9·1 answer
  • if a 6-kg bowling ball is rolled down the bowling lane with a velocity of 3.5m/s what is the momentum of the ball. show can you
    5·1 answer
  • The volume of a cylinder is 980 pie inches square the height of the cylinder is 20 inches what is the radius of the cylinder
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!