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
Help me with this please I will give you Brainliest
oksian1 [2.3K]
Answer

h = 8.12 cm

Explanation

Area of a parallelogram = b • h

We know the area is 20.3 cm^2 and that the base is 2.5cm.

Therefore 20.3 cm^2 = 2.5h

20.3/2.5 = 8.12 cm

h = 8.12 cm
3 0
3 years ago
What is 4x squared minus x squared
OLEGan [10]

Answer:

3x^2 or 3x squared

Step-by-step explanation:

4x^2-x^2=3x^2

4x squared-x squared equals x squared

when subtracting squared it's like subtracting normal numbers

3 0
3 years ago
Read 2 more answers
BRAILIEST IF RIGHT Which other expression has the same value as (-14) - 8 ?
stiks02 [169]

Answer:

It's the last one (-14) +(-8)

Step-by-step explanation:

since (-14)-8 is -22 and the last one is also -22

4 0
3 years ago
Helphelphelphelphelphelphelp
Nesterboy [21]

i think a. hope it helps

5 0
3 years ago
Please help this quiz is worth a lot of point
sergiy2304 [10]

Answer:

YZ = 1

XY = 1.5

XYZ 1.33

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • the price of a bike at store A is 5/6 the price at Store B. The price at Store A is $150.60. write and solve an equation to find
    8·1 answer
  • You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o
    12·1 answer
  • How to resolve 81÷3=?
    11·1 answer
  • Which is a stretch of an exponential decay function?
    12·2 answers
  • Diana is going to roll a 6-sided die. What's the probability she will role a 4 or<br> a 5? *
    5·1 answer
  • The perimeter and area of a wall have the same value. If the base of the wall is 7 meters long, what is the height of the wall?
    8·1 answer
  • What is the sum of (2x+4)+(-3x+9)
    15·2 answers
  • Can anyone help? please
    5·1 answer
  • A farmer had 21 goats all but 9 died how many survive ?
    6·2 answers
  • If one piece of furniture was sold every 3/4 hour, how many pieces of furniture are sold in 3 hours
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!