Question

The sides of a triangle are of length 1.5 cm, 2.5 cm and 2 cm. Then this triangle is a right triangle.

• A. True
• B. False

Answer 1

The correct option is A True

We know that hypotenuse is the longest side. If 1.5 cm, 2.5 cm and 2 cm are the lengths of a triangle, then 2.5 cm will be the hypotenuse.
$(2.5{)}^2=6.25$ and
$(1.5{)}^2+(2{)}^2=2.25+4=6.25$
Here,$(2.5{)}^2=(1.5{)}^2+(2{)}^2$
Hence, by the converse of Pythagoras theorem, the given triangle is a right triangle.