As we know that any triangle has to be either acute or obtuse or right angled, we
can split p into three statements r, s and t, where
Rationalised 2023-24
PROOFS IN MATHEMATICS
191
r : ABC is an acute angled triangle with ∠ C is acute s : ABC is an obtuse angled triangle with ∠ C is obtuse t : ABC is a right angled triangle with ∠ C is right angle Hence, we prove the theorem by three cases