Two side of an isoceles triangle given by the equation 7x-y+3=0,and x+y-3=0 and its third side passes from (1,-10)
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Answer:
The equations are
Step-by-step explanation:
Given Two sides of isosceles triangle are given by the equations 7x-y+3=0and x+y-3=0 and the third side passes through the points (1,10).
We have to find the equation of the third side.
Slope intercept form is
y=mx+c
Slope of 7x-y+3=0 is 7
Slope of x+y-3=0 is -1
Let slope of third line i.e BC is m
Since ΔABC is isosceles therefore angle on the bases are equal.
⇒
As,
⇒
⇒
and
and
and
not possible
Let m=-3, then equation of third side is
⇒
Let , then equation of third side is
⇒
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