Answer with Step-by-step explanation:
According to the Pythagorean theorem,
Hypotenuse²=Base²+Perpendicular²
a.
Base=3
Perpendicular=2
3²+2²=13
Hypotenuse=√(13)
Hypotenuse²=13
b.
Base=3√2
Perpendicular=2
(3√2)²+2²=18+4
=22
Hypotenuse=5
Hypotenuse²=25
c.
Base=3√3
Perpendicular=2
(3√3)²+2²=27+4
=31
Hypotenuse=√(43)
Hypotenuse²=43
Hence, The only case in which Pythagorean theorem is satisfied is:
a
Hence, Triangle in case a is right angled triangle