~~The sides of a triangle are given by the equation 3x+4y=10,4x-3y=5, and 7x+y+10=0. Show that the origin lies within the triangle.

Question

~~The sides of a triangle are given by the equation
3x+4y=10,4x-3y=5, and 7x+y+10=0 Show that the origin lies within
the triangle

Brijendra Pal · Accepted Answer

Dear Student, The equation can be written as 3x+4y-10 = 0 
14x-3y-5=0 27x+y+10=0 
3Now putting 0,0 in each line to find the sign so sign will be -10, -5, +10 means point is lying one side to the lines 1 and 2 and opposite to the lines 3 means it is contained withing these lines Regards