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
crimeas [40]
3 years ago
5

If the points A, B and C have the coordinates A(5, 2), B(2, −3) and C(−8, 3), show that the triangle ABC is a right-angled trian

gle.
Mathematics
1 answer:
bixtya [17]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

Triangle ABC will be right-angled if 2 of its sides are perpendicular to each other. When sides are perpendicular the product of their slopes = -1.

Slope  of side AB = (-3-2)/(2-5) = -5/-3 = 5/3

Slope of side BC = (3- -3) / -8-2) = 6/-10 = -3/5

The product of the slopes = 5/3 * -3/5 = -15/15 = -1.

So AB is perpendicular to BC  and triangle ABC is right-angled .

You might be interested in
I NEED HELP ASAP PLS !!!
Ray Of Light [21]

Answer:

i hope this helps!   :)

Step-by-step explanation:

1.) 130

2.) 56

3.) 5

4.) 10

5.) 24

6.) 91

6 0
3 years ago
Read 2 more answers
F(×)=3×/2+× find f(-4)​
3241004551 [841]

Answer:

f(x)=6

Step-by-step explanation:

3(-4)/2+(-4)

-12/-2

f(x)=6

4 0
3 years ago
Read 2 more answers
Which could be the value of the third side of a triangle with sides 3 and 4? A. 3 B. 7 C. 12 D. 20
LiRa [457]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Triangle WXY has coordinates W(1, 5), X(1, 1), and Y(5, 1). Which of the following sets of points represents a dilation of trian
timofeeve [1]
The correct answer for the question shown above is the second option, the option B, which is: B. <span>W'(2, 10), X'(2, 2), Y'(10, 2) 
 The explanation is shown below: As you can see, the original triangle has the following coordinates </span><span> W(1, 5), X(1, 1), and Y(5, 1); the triangle must be dilated by a common scale factor, so if you analize the option B, you can notice that the triangle was dilated by a scale factor of 2.</span>
3 0
3 years ago
The function h(x) shown is the result of adding two
podryga [215]

Answer:

The domains of both f(x) and g(x) must be (–∞, ∞).

Step-by-step explanation:

-Ash

:p

8 0
2 years ago
Other questions:
  • A total of 308 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student t
    5·1 answer
  • 30% of what equals 18
    8·1 answer
  • Can you help me with this question?
    7·1 answer
  • Need help with number 40 please !
    11·1 answer
  • It takes Maya 30 minutes to solve 5 logic puzzles and it takes Amy 28 minutes to solve 4 logic puzzles use models to show the ra
    12·1 answer
  • 50 points! Mhanifa please help! I would appreciate it! Random answers will be reported!
    10·2 answers
  • What is the next fraction in this sequence? Simplify your answer.<br> 1 1 1 5<br> 6,4, 3, 12,
    10·1 answer
  • Tom bought a book that originally costs $35. The book was on sale for ⅕ off. Write an expression to represent the scenario Write
    7·2 answers
  • I
    15·2 answers
  • Help me find the slope to these points<br> (2,5) and (8, -4)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!