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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
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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??
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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)
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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
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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
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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
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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