Two sides of an obtuse triangle are 16 and 21. How many possible integer lengths are there for the third side?
a = 16
b = 21
\(\sqrt{16^2+21^2}< c < (16+21)\)
\(26.4 < c < 37\)
\(\mathbb L= \ c\in \left \{27,28,29,30,31,32,33,34,35,36 \right \}\)
\(10 \ possible \ integer \ lengths \ are \ there \ for \ the \ third \ side.\)
!