Triangle Inequality Theorem: States that the sum of any two sides of a triangle is greater than the length of the third side;
So for this, we are applying the triangle inequality theorem. If any of the inequalities are not true, then this cannot be a triangle. (Let A = 7.7, B = 4.0, and C = 1.7)
<u>Since the second inequality is false, these lengths cannot form a triangle.</u>
This is the concept of arithmetic: fraction of: Protein+healthy fats=1/2 carbohydrates=2/3×1/2=1/3 sugary treats=1-(1/3+1/2)= 1/6 thus the percentage of sugary treats in the current diet will be: (fraction of sugary treats)×(percentage of the diet) =1/6×10 =10/6 =1 2/3 %