Find the equation of the sides of a triangle whose vertices are (1,4) , (2,-3) , (-1,-2)
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find the area of the triangle whose vertices are A(1,2,3),B(2,3,1),C(3,1,2) by vector method
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(1,4) (2,-3) (-1,-2)
first we have to calculate the slope of each equation:
m1 = y2-y1/x2-x1
= -3-4/2-1
= -7
m2= -2+3/-1-2
= 1/-3
m3 = 4+2/1+1
= 3
now for the equations:
y-y1=m1(x-x1)
y-4= -7(x-1)
y-4 = -7x+7
7x+y-11=0
y-y2=m2(x-x2)
y+3 = 1/-3 (x-2)
-3y-9=x-2
x+3y+7=0
y-y3=m3(x-x3)
y+2=3(x+1)
y+2=3x+3
3x-y+1=0
Therefore the equations are:-
7x+y-11=0
x+3y+7=0
3x-y+1=0
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