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
denis23 [38]
3 years ago
15

What is the perimeter of △LMN?

Mathematics
2 answers:
MAVERICK [17]3 years ago
5 0

we know that

The distance 's formula between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Step 1

<u>Find the distance MN</u>

M(-2,1)\\N(-1,4)

Substitute in the distance's formula

d=\sqrt{(4-1)^{2}+(-1+2)^{2}}

d=\sqrt{(3)^{2}+(1)^{2}}

dMN=\sqrt{10}\ units

Step 2

<u>Find the distance NL</u>

N(-1,4)\\L(2,4)

Substitute in the distance's formula

d=\sqrt{(4-4)^{2}+(2+1)^{2}}

d=\sqrt{(0)^{2}+(3)^{2}}

dNL=3\ units

Step 3

<u>Find the distance LM</u>

L(2,4)\\M(-2,1)

Substitute in the distance's formula

d=\sqrt{(1-4)^{2}+(-2-2)^{2}}

d=\sqrt{(-3)^{2}+(-4)^{2}}

dLM=5\ units

Step 4

<u>Find the perimeter of the triangle LMN</u>

we know that

The perimeter of a triangle is equal to the sum of the three length sides

In this problem

Perimeter=MN+NL+LM

substitute the values in the formula

Perimeter=(\sqrt{10}+3+5)\ units

Perimeter=(8+\sqrt{10})\ units

therefore

<u>the answer is the option D</u>

the perimeter of the triangle LMN is equal to (8+\sqrt{10})\ units

svetoff [14.1K]3 years ago
3 0
I  solved this via the Pythagorean theorem. Side LM is 5 and side NM is 3.16. Side NL is also 3. 3+5+3.16=11.16. The decimal form of 8+sqrt(10) is 11.16. D is the answe



You might be interested in
What is the answer to eight times something that equals 16
Maurinko [17]
8 times 2 equals to 16
5 0
3 years ago
Read 2 more answers
Kayla lives 5 2/4 miles from her dad’s house. What fraction greater than one can you write 5 2/4?
mihalych1998 [28]
6 3/4 I think is a possible answer
8 0
3 years ago
Can someone plz explain this?
VMariaS [17]

Answer:

Step-by-step explanation:

Mental abuse to humans

4 0
3 years ago
I need to solve: -3(8x); x = 1/4. Using substitution ro find the value of expression
marishachu [46]
First, find the value of the expression within the parentheses, which is 8x. Since x=1/4, 8x=8/4 or 2. Next, multiply this value by -3. -3*2=-6
5 0
3 years ago
What number is between 0-5
svet-max [94.6K]

Answer:

The numbers are 0 12345

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • A dresser marked for $90 was on sale for 12% off. What was the final price of the dresser?
    14·1 answer
  • What is the value of x
    9·2 answers
  • jerry has a new job and earns a salary of $45000. Victoria has a new job and earns a salary of $54000 jerry will receive a salar
    14·1 answer
  • A triangle ABC with vertices A (1,5) B (5,2) And C (-1,2) is rotated 90o what are the coordinates of B
    11·2 answers
  • (-1.1)^13 x (-1.1)^12 / (-1.1)^10 x (-1.1)^1
    7·1 answer
  • Which point represents the vertex of the marked angle.
    5·2 answers
  • bell's cell phone coasts $18 pre month plus $0.15 for every minute she uses the phone last month her bill was $29.25 for how man
    6·1 answer
  • Constant of proportionality characteristics what are some?
    14·1 answer
  • Cones A and B are similar.
    13·2 answers
  • ....Help Please......
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!