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
Lana71 [14]
3 years ago
8

What is the perimeter of triangle DEF?

Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Given:

Triangle DEF

To find:

The perimeter of triangle DEF.

Solution:

Coordinate of D = (-1, 1)

Coordinate of E = (2, 1)

Coordinate of F = (-1, 4)

Distance formula:

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

<u>Distance of DE:</u>

Here, x_1=-1, y_1=1, x_2=2, y_2=1

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

d=\sqrt{0+9}

d = 3 units

<u>Distance of EF:</u>

Here, x_1=2, y_1=1, x_2=-1, y_2=4

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

d=\sqrt{9+9}

d=\sqrt{18}

d = 4.2 units

<u>Distance of FD:</u>

Here, x_1=-1, y_1=4, x_2=-1, y_2=1

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

d=\sqrt{9+0}

d = 3 units

Perimeter of ΔDEF = DE + FE + FD

                                = 3 + 4.2 + 3

                                = 10.2 units

The perimeter of triangle DEF is 10.2 units.

You might be interested in
Read and answer the following:
netineya [11]
The answer of you're question is C
6 0
2 years ago
Read 2 more answers
What ratio is less than 15:24.these are the answer choices  &gt; 1:2, 7:8, 19:24, 6:8
Drupady [299]
15:24 is divisible by 3, simplifying it down to 3:8. 19:24, 7:8, and 6:8 are all obviously larger than this ratio, and 1:2 can be equalized to 4:8, which is also bigger than 3:8, so none of the answer choices are less than 15:24.
5 0
3 years ago
Read 2 more answers
Find the difference 726-477=
Tanzania [10]
Its 249 because the difference 726-447 is 249
7 0
3 years ago
Read 2 more answers
Carley’s progress from a 5-kilometer race is displayed in the graph below.
eduard

Answer:

35 minutes

Step-by-step explanation:

6 0
3 years ago
If the shape of an object changes the perimeter will always change true or false
Ugo [173]

The answer is false due to the object is changes shape not size

6 0
3 years ago
Other questions:
  • 11. -2+b&lt;3
    6·1 answer
  • 9n-10n=-3. What is the answer
    10·1 answer
  • Hey i'm dumb and geometry is hard pls help! i will give you branliest!
    10·1 answer
  • Suppose you have a sample of size 42 with a mean of 30 and a population standard deviation of 7.4. What is the maximal margin of
    6·1 answer
  • What is 23 squared A. 1,058 B.129 C. 46 D. 529
    7·2 answers
  • You and a friend are playing a game by tossing two coins. If both coins are heads or both are tails, you win. Otherwise, your fr
    15·1 answer
  • Please help and no links to stuff bc they don't work ​
    9·1 answer
  • Which problem is even below<br> 4,323<br> 944<br> 291<br> 31
    14·1 answer
  • PLS HELP I WILL GIVE 50 POINTS!
    8·1 answer
  • All ratios equivalent to 6:4.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!