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
A distribution of measurements is relatively mound-shaped
olchik [2.2K]
\mathbb P(X>60)=\mathbb P\left(\dfrac{X-50}{10}>\dfrac{60-50}{10}\right)=\mathbb P(Z>1)

Since approximately 68% of a (roughly) normal distribution falls within one standard deviation of the mean, that leaves 32% that falls outside, and by symmetry 16% should lie above one standard deviation of the mean.
3 0
3 years ago
Given g(x) = -x + 5, solve for x when g(x) = 3.
Elan Coil [88]
Both equal g(x) so put them together

-x+5=3 then solve for x

-x=3-5
-x=-2
-2 divided by -x =2

x=2
5 0
3 years ago
Find cosØ if sinØ=-12/13 and tanØ&gt;0.<br><br> A) -5/12<br> B) -5/13<br> C) 12/5<br> D) -13/12
mestny [16]

Answer:

-5/13

Step-by-step explanation:

sin theta = opp / hyp

sin theta = -12 /13

we can find the adj side by using the pythagorean theorem

adj^2 + opp ^2 = hyp^2

adj^2 +(-12)^2 = 13^2

adj^2 +144 =169

adj^2 = 169-144

adj^2 = 25

Taking the square root of each side

adj = ±5

We know that it has to be negative since it is in the third quad

adj = -5

cos theta = adj / hyp

cos theta = -5/13

8 0
3 years ago
Read 2 more answers
Can someone answer #10 please?
n200080 [17]
Not sure of the question...1 missing vs 8 found
or 1 missing vs 9 piece puzzle

8 0
3 years ago
where is sandy mistake ive been trying for 30 mintues and still cant find it im not very good at math please help
MArishka [77]

Answer:

Sandy did not follow PEMDAS and added first instead of doing her multiplication and division and then her addition and subtraction the answer would be 18

6 0
3 years ago
Other questions:
  • Let x represent any year. Write an inequality in terms of x and 1610
    10·1 answer
  • Root 37 is closer to
    15·1 answer
  • What are the solutions of <br><img src="https://tex.z-dn.net/?f=x%20%7B%20-%204%20%3D%200%7D%5E%7B2%7D%20" id="TexFormula1" titl
    13·1 answer
  • 4 inches away from a playground the scale of the map is 1 inch represents 5.25 meters how far apart are the actual pond and play
    5·1 answer
  • According to these three facts, which statements are true? Circle D has center (2, 3) and radius 7. Circle F is a translation of
    15·1 answer
  • A disc jockey wants to select 4 songs from a new cd that contains 12 songs. How many ways can the disc jockey choose four songs?
    10·2 answers
  • If y'll need a brainiest and you have 6 or less answer this question! Just trying to help!
    15·1 answer
  • An arc is subtended by a central angle measuring pi/2 radians. What fraction of the circumference is this arc?
    9·1 answer
  • I need help. <br> The question is in the picture
    5·2 answers
  • The final enrollment for the spring 2012 semester at The Florida State University
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!