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
KIM [24]
3 years ago
5

The vertices of a triangle are located at P(0, 0), Q(8, 6), and R(-3, 4). What is the perimeter of this triangle?

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0
I graphed the vertices and got a triangle but its very hard to solve its perimeter. Therefore, I identified right triangles to help me solve for the perimeter making each side the hypotenuse of each right triangle.
Pythagorean Theorem: a² + b² = c²
a = short leg ; b = long leg ; c = hypotenuse 

P(0,0) ; R(-3,4)
a = 3 ; b = 4 ; 
3² + 4² = c²
9 + 16 = c²
25 = c²
√25 = √c²
5 = c

P(0,0) ; Q(8,6)
a = 6 ; b = 8 
6² + 8² = c²
36 + 64 = c²
100 = c²
√100 = √c²
10 = c

Q(8,6) ; R(-3,4)
a = 2 ; b = 11
2² + 11² = c²
4 + 121 = c²
125 = c²
√125 = √c²
11.18 = c

Perimeter = 5 + 10 + 11.18 = 26.18
You might be interested in
Paul sells chocolate chip cookies and peanut butter cookies. Baking a batch of chocolate chip cookies takes 1.75 cups of flour a
MissTica

Answer:8 easy

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Calculate the geometric mean of 2 and 200
kakasveta [241]
The geometric mean of 2 & 200 is *(20)*
5 0
2 years ago
If f(x)=3x+10x and g(x)=5x-3, find (f-g)(x)
Sphinxa [80]
f(x) = 13x\\g(x) = 5x - 3\\f(g(x)) = 13(5x-3)\\f(g(x)) = 65x - 39
6 0
3 years ago
Read 2 more answers
Help me with this ASAP PLEASE!!!❤️
DaniilM [7]
The third one its already in order
7 0
3 years ago
How many years are there in one bimillennium
olchik [2.2K]
A bi-millennium means two (bi) times thousand of years (millenium), this means that a bi millennium has 2000 years in it: two thousand years. 

The origin of this word is latin: because of this it also has the plural of "bimillennia"   <span />
5 0
3 years ago
Other questions:
  • Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the near
    6·2 answers
  • Let f(x)=x^2-16. Find f^1(x)
    13·1 answer
  • 6 is added to four times a number the result is 50 Find the number
    10·2 answers
  • the Circle fit in a square with a side of 12 inches what is the approximate area of the shaded region between the square in the
    7·2 answers
  • Find the distance between<br> 2-3i<br> And<br> 9+21i
    12·1 answer
  • A car is driving at 70 kilometers per hour. How far, in meters, does it travel in 5 seconds?
    15·1 answer
  • What the three missing terms after22,28,21,27,20,26,19​
    7·1 answer
  • Suppose that the area of square lawn is 25x^2+40x+16
    8·1 answer
  • A sandwich shop has 60 stores and 60% of the stores are in California. The rest of the stores are in Nevada. How many stores are
    10·1 answer
  • Look at the equation below <br> 4e+7=31<br> What is the value of e?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!