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
Yuri [45]
3 years ago
14

Find the measure of the the sides of DEF then classify it by it sides. D(8,-6) E(-1,-3) F(-2,5)

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Answer:

Part a) The measure of the sides of triangle DEF are

d_D_E=\sqrt{90}\ units

d_E_F=\sqrt{65}\ units

d_D_F=\sqrt{221}\ units

Part b) Is a scalene triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

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

we have the coordinates

D(8,-6) E(-1,-3) F(-2,5)

step 1

Find the length side DE

D(8,-6) E(-1,-3)

substitute in the formula

d=\sqrt{(-3+6)^{2}+(-1-8)^{2}}

d=\sqrt{(3)^{2}+(9)^{2}}

d_D_E=\sqrt{90}\ units

step 2

Find the length side EF

E(-1,-3) F(-2,5)

substitute in the formula

d=\sqrt{(5+3)^{2}+(-2+1)^{2}}

d=\sqrt{(8)^{2}+(-1)^{2}}

d_E_F=\sqrt{65}\ units

step 3

Find the length side DF

D(8,-6) F(-2,5)

substitute in the formula

d=\sqrt{(5+6)^{2}+(-2-8)^{2}}

d=\sqrt{(11)^{2}+(-10)^{2}}

d_D_F=\sqrt{221}\ units

step 4

Classify the triangle by the measure of its sides

we have

d_D_E=\sqrt{90}\ units

d_E_F=\sqrt{65}\ units

d_D_F=\sqrt{221}\ units

so

Is a scalene triangle, because is a triangle in which all three sides have different lengths.

You might be interested in
Normal Distribution quiz?
Leno4ka [110]
Area under ALL probability distribution curves is 1.0, because all possible outcomes are taken into account.
8 0
3 years ago
The tables for f(x) and g(x) are shown below.
Vinvika [58]

Answer:

  16

Step-by-step explanation:

(f - g)(5) = f(5) -g(5)

From the tables, ...

  f(5) = 29

  g(5) = 13

Your desired function is ...

  f(5) -g(5) = 29 -13 = 16

8 0
3 years ago
Find the distance between the points shown in the coordinate plane.
klio [65]
I think it’s is c I’m not sure tho
5 0
3 years ago
Read 2 more answers
2 x 9 = ?<br> and also dont you just loooooove my profile picture
Verizon [17]

Answer:

18

Step-by-step explanation:

18

2 * 9 = 18

9 + 9 = 18

5 0
3 years ago
Read 2 more answers
(True or False) The Long Division symbol is the same as the Radical (Root) symbol?
Dmitriy789 [7]

Answer:

false

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Reduce the fraction. Write a conditional statement: 8a+4b/2ab+b^2−2ad−bd
    13·1 answer
  • Logan drove from New Orleans to Nashville to visit friends. Logan drove the speed
    12·1 answer
  • What is the solution to this system of equations?
    10·1 answer
  • Multiply.<br> (4y+6)(3y2 - 2y+5)<br> Simplify your answer.
    13·2 answers
  • An iguana at a pet store is 5 feet long Measurement for iguana cages are given in inches How many inches long is the iguana?
    5·1 answer
  • If an event is likely to occur, which of the following best describes the probability that the event will occur?
    12·1 answer
  • An insurance company has written 100 policies for $75,000, 500 policies for $25,000, and 1000 policies for $10,000 for people of
    11·1 answer
  • Simplify 2 x 4x x 2y​
    5·2 answers
  • Find the exact solution to the equation.<br> 4(12-3x) = 64<br><br> What is the solution?
    10·1 answer
  • The sum of three consecutive integers is 1.623
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!