Because A+3 is the largest
The big side is opposite to the big corner, and the side corresponding to A+3 is the largest. If the corresponding angle is θ, then there must be 90.
Cosine theorem:
cosθ=[a^2+(a+ 1)^2-(a+3)^2]/2a(a+ 1)<; 0
rule
a^2+(a+ 1)^2-(a+3)^2<; 0
a^2-4a-8<; 0
0 & ltA & lt2+2√3
The sum of two sides of a triangle is greater than the third side.
A+A+ 1 & gt; A+3
A & gt2
rule
2 & ltA & lt2+2√3
As long as it is a subset of the above set, it is satisfied.
Only
degree of satisfaction
C