Determine whether each triangle below will form a unique triangle, no triangle, or more than one triangle based on the criterion given Part A:
A triangle with 5 cm and 7 cm side lengths and an included 50° angle will form
Part B:
A triangle with side lengths 3 inches, 2 inches, and 1 inch will form
Part C:
A triangle with angle measures of 72, 24, and 84º will form

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

60: 45 =12: 9 =4: 3 so the answer is 4: 3