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
siniylev [52]
3 years ago
14

In △ABC, the coordinates of vertices A and B are A(1,−1) and B(3,2). For each of the given coordinates of vertex C, is △ABC a ri

ght triangle?
Select Right Triangle or Not a Right Triangle for each set of coordinates.
C(0,2) right triangle or not a right triangle?
C(3,-1) right triangle or not a right triangle?
C(0,4) right triangle or not a right triangle?

Mathematics
2 answers:
WINSTONCH [101]3 years ago
5 0

Solution: A triangle ABC in which Coordinates of A and B are A(1,−1) and B(3,2).

We have to find the third vertex such that △ABC becomes a right triangle.

Let third vertex be (x,y).

As the two lines will be perpendicular, so product of their slopes is -1.

→Slope of AC × Slope of BC = -1

→\frac{y+1}{x-1}\times\frac{y-2}{x-3}=-1

→y²-y-2= -x²+4 x-3

→x²+y²- 4 x -y+1=0

Also , By applying pythagoras theorem,

AC² + BC²=AB²

(x-1)²+(y+1)²+(x-3)²+(y-2)²=13

x²- 2 x +1+y²+2 y+1+x²-6 x+9+y²-4 y+4=13

2 x² +2y² - 8 x - 2 y+2=0

x² +y²- 4 x-y+1=0

As point (3,-1) satisfies the above equation.Also you can find the solution graphically.


IrinaVladis [17]3 years ago
4 0

Answer:

C(0,2) - Not A Right Angle

C(3,-1) - Right Angle

C(0,4) - Right Angle


I took the unit test and after this was the correct and answer. Hope this helps :))



You might be interested in
Directions: Simplify the following monomials.SHOW THE STEPS!
Pavel [41]

Answer:

I hope you enjoy it if you have any questions ask me

4 0
2 years ago
Read 2 more answers
What is the slope of the line shown on the graph?
ale4655 [162]
Hi do u want me to give you the answer or give u the formula?

3 0
3 years ago
Read 2 more answers
Michael records the number of miles he runs each week for nine weeks.
Tems11 [23]
Box and whiskers plot
4 0
2 years ago
Read 2 more answers
When f(x) = 2x 2 + 3, find f(-3).<br> -15<br> 21<br> 39
notsponge [240]

Answer:

21

Step-by-step explanation:

f(x) = 2x^2 + 3

f(-3) = 2(-3)^2 + 3

f(-3) = 2(9) + 3

f(-3) = 18 + 3

f(-3) = 21

6 0
3 years ago
In the first quadrant you start at (6,5)and move 3 unites left
VMariaS [17]

Answer:

<em>(3,5)</em>

I hope this helps!!



7 0
2 years ago
Other questions:
  • What is -√169? (note: negative in front of the √)
    8·1 answer
  • Factor the expression below x^2 - 10x + 25
    15·2 answers
  • Jared can work 54 math problems in 1 hour. How many problems can he work in 10 minutes?
    7·1 answer
  • Find the following quantity.
    11·2 answers
  • −5, −6, 0, 6 Which pair of numbers has a sum of zero? (5 points) −5, 6 −6, 0 −5, 0 6, −6
    9·1 answer
  • Nadia thinks of a number.
    10·1 answer
  • Identify the domain of the function shown in the graph.
    7·1 answer
  • If ab = 5 and a² + b² = 25, then (a + b)2 =?​
    15·1 answer
  • What is the equation of the line that has a slope of -4 and passes through (2, -3)
    7·1 answer
  • Help<br><br> 4 X 3/6 = ? X 1/6
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!