In triangle ABC, AB=(5-x)cm,BC=(4+x)cm, angle ABC=120 and AC=y cm

Show that y^2=x^2-x+61

1 answer

use the law of cosines
y^2 = (5-x)^2 + (4+x)^2 - 2(5-x)(4+x)(-1/2)
now just expand and simplify