If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side
Two equal sid...
Question
Two equal sides of an isosceles triangle are given by the equations 7x−y+3=0 and x+y−3=0 and its third side passes through the point (1,−10). Determine the equation of the third side.
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Solution
Since, Δ is isosceles triangle so, third side is equally inclined to the lines 7x−y+3=0 and x+y−3=0
Hence, third line is parallel to their angle in sector.
7x−y+3√50=±x+y−3√2
3x+y−3=0 -----(i)
x−3y+9=0 -----(ii)
The line through (1,−10) parallel to (i) is 3x+y+7=0 and that parallel to (ii) is x−3y−31=0.