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
noname [10]
3 years ago
5

Find the perimeter of a triangle with points A(1,2), B(1,8), and C(5,5) on a Cartesian coordinate plane.

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0

Check the picture below.

the distance from 1,2 to 1,8 is simply 6 units, we can read that off the grid.  Now let's see what the other distances are, and add them all up to get the perimeter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AC=\sqrt{(5-1)^2+(5-2)^2}\implies AC=\sqrt{4^2+3^2} \\\\\\ AC=\sqrt{25}\implies AC=5 \\\\[-0.35em] ~\dotfill

\bf B(\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) \\\\\\ BC=\sqrt{(5-1)^2+(5-8)^2}\implies BC=\sqrt{4^2+3^2} \\\\\\ BC=\sqrt{25}\implies BC=5 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{perimeter}{6+5+5\implies 16}~\hfill

You might be interested in
Which polynomial is a difference of two squares? <br> x2 − 16 <br> x2 + 16 <br> x2 − 8 <br> x2 + 8
AnnZ [28]
X2 - 16, is the answer. The first one.

x^2 - 16 = (x)^2 - 4^2, difference of two squares :)
8 0
3 years ago
Read 2 more answers
Circle the greater andend. draw circle to count on one two or three write the sum
Natali5045456 [20]
Um where the problem or number?
3 0
3 years ago
Quien me ayuda es suma de polinomios
arsen [322]
Sorry no espanol...sorry
6 0
3 years ago
What percent of one dollar is a nickle​
-Dominant- [34]

Answer:

5

Step-by-step explanation:

.05 ×100=5 per cent

a nickel is 5 cent

8 0
3 years ago
Previous
PilotLPTM [1.2K]

just realized this is an old question

7 0
3 years ago
Other questions:
  • 2(3x−5a)+9(2a−7b)+3(5a−2x)=0
    15·1 answer
  • Jan received -22 points on her exam. She got 11 questions wrong out of 50 questions. How much was Jan penalized for eat wrong an
    9·1 answer
  • it takes the earth 24 hours to complete a full rotation. it takes saturn approximately 10 hours, 39 minutes, and 24 seconds to c
    5·2 answers
  • Can you show the work
    8·1 answer
  • A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydr
    12·1 answer
  • Kate has a coin collection. She keeps 7 of the coins in a box witch is only 5%of her entire collection. What is the total number
    12·2 answers
  • Triangle ABC is given.<br><br> What is the measure, in degrees, of ∠A?
    10·1 answer
  • Find the equation of the line that is parallel to f(x) and goes through point (-1,7).
    10·1 answer
  • Help me on math please asap
    12·1 answer
  • OMGGG!!! ACTUALLY SOMEONE PLEASE HELP!!! PLEASE!!! THIS IS PAST DUE!!! HELLLLP!! ANSWER ALL!!!!! HELP ME!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!