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Mathematics 6 Online
OpenStudy (anonymous):

1

OpenStudy (anonymous):

calculAate slopes of three lines

OpenStudy (anonymous):

AB, BC, CA

OpenStudy (anonymous):

if the product of any two slopes is -1, they are perpendicular

OpenStudy (anonymous):

they are at right angles to each other

OpenStudy (anonymous):

u know that if product of slopes is -1, the two lines are at 90 degrees

OpenStudy (anonymous):

the main condition of right triangle is to sides make 90 degree and we can also call it perpendicular to each other

OpenStudy (anonymous):

for AB m = 2-4/-3-3

OpenStudy (anonymous):

so, if the product of slopes of any two lines is -1, they are at 90 degrees to each other..and so the triangle is a right angle

OpenStudy (anonymous):

anytime :)

OpenStudy (anonymous):

the slope of ab is -1??

OpenStudy (anonymous):

how do you calculate slope if two points are given?

ganeshie8 (ganeshie8):

if slope is not covered in ur class yet, you can use the distance forumula and calculate side lengths, and see if it fits pythagoras.. .

OpenStudy (anonymous):

3-(-3)/4-2

ganeshie8 (ganeshie8):

hmm hw did you get 5/-1

OpenStudy (anonymous):

the formula is (y2-y1)/(x2-x1)

OpenStudy (anonymous):

get it

ganeshie8 (ganeshie8):

slope of a line given points \(A(\color{green}{x1},\color{purple}{y1}) , B(\color{green}{x2},\color{purple}{y2})\) = \(\frac{\color{purple}{y2-y1}}{\color{green}{x2-x1}}\)

OpenStudy (anonymous):

I know that

ganeshie8 (ganeshie8):

we need to find slopes of all 3 sides

OpenStudy (anonymous):

so now AC

hartnn (hartnn):

i'll do for BC, u do for AB and AC similarly : \(\large m=\frac{2-(-4)}{-3-(-1)}=\frac{2+4}{-3+1}=\frac{6}{-2}=-3\)

ganeshie8 (ganeshie8):

@uzumakhi already calculcate slope of AB = 1/3, so... .

hartnn (hartnn):

oh, AB already calculated above, m=2/6=1/3

ganeshie8 (ganeshie8):

*calculated

hartnn (hartnn):

now note that slope of line AB and BC have product -3 *(1/3) = -1

hartnn (hartnn):

this implies AB is perpendicular to BC means ABC is right triangle. got this ?

OpenStudy (anonymous):

Is it a right triangel yes;no

OpenStudy (anonymous):

what is it

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

see the slope of ac is 3, of bc is -1/3

OpenStudy (anonymous):

the product is -1

OpenStudy (anonymous):

ok thx

OpenStudy (anonymous):

:D

OpenStudy (anonymous):

I'm sorry for taking so much time

OpenStudy (anonymous):

@Falkqwer what is the problem now @him1618 explain it so good

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