Question

Will MEDAL and FAN!!
4. Is triangle ABC with vertices A(-1,4), B(3,1), and C(0,-3) a right triangle? Explain your answer using the slopes of the segments that form the sides of the triangle.

Answer 1

well plot the points

then find the slope of the line segments

lastly multiply pairs of slopes

the pair that multiply to -1 are perpendicular... and hence right angled

Answer 2

@waterineyes

Answer 3

Just follow the steps my friend campbell has given you above..

Answer 4

where do i plot the points

Answer 5

On a graph..

Answer 6

Here, just a rough sketch will work:

Answer 7

thanks

Answer 8

i ploted the points how do i find the slope of the lie segment

Answer 9

you use the slope formula

m = (y2 - y1)/(x2 - x1)

to find the slope of the line through any two points

Answer 10

if you can show two slopes m1 and m2 multiply to -1, like so

m1*m2 = -1

then you have shown you have a right triangle

Answer 11

this is what i got when i ploted the points @jim_thompson5910

Answer 12

are you able to find the slopes of lines: AC, BC, AB ?

Answer 13

no thats what i need help with

Answer 14

let's find the slope of AB

A(-1,4), B(3,1)

Answer 15

plug the coordinates into

m = (y2 - y1)/(x2 - x1)

in this case

x1 = -1
y1 = 4
x2 = 3
y2 = 1

Answer 16

what slope value do you get?

Answer 17

give me a minute i have take my dog outside

Answer 18

ok

Answer 19

so this is what i got
m=(4*2-1*1)/(-1*2-3*1)
m=-1.75
is that right? @jim_thompson5910

Answer 20

the y2 does NOT mean y times 2

y2 is simply a label to tell the difference from y1

both are y values (just different y values)

Answer 21

y1 is the first y value
y2 is the second y value

y2 - y1 tells us to subtract the two

Answer 22

same goes for x1 and x2

Answer 23

ok give me a minute