Question

an equilateral triangle has two vertex at point (3,4) and (-2,3) find the coordinates of the third vertex

Answer 1

i can only upload one pic here... but the solution takes 2 pages... so
after this
substitute the value of y in eq. 1 and equate it to 26.
then u would get the quadratic equation
2x^2-2x-1=0

solve the quadratic equation using quadratic formula. you would get x=1+root3/2 or 1-root3/2

now y=6-5x
put the value of x.
u would get.
7+5root3/2 or 7-5root3/2