Question

can the line segment 1.5, 2cm, 2.5cm be the sides of a right angled triangle

Answer 1

Method1:
${1.5}^{2} + {2}^{2} = 6.25 \\ {2.5}^{2} = 6.25 \\ so \: \: {1.5}^{2} + {2}^{2} = {2.5}^{2} \\ thus \: they \: can \: form \: right \: triangle$
Method2:

The smallest ratio of whole numbers which form right triangle is 3:4:5.
Dividing by 2, the ratio becomes, 1.5:2:2.5

They can form a right triangle