Question

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm, is a right triangle?

Answer 1

Let first side= 5 cm

second side= 12 cm

third side = 13 cm

To prove this triangle to be right angle triangle, we need to prove Pythagoras Theorem

`5^(2)`=25

`12^(2)`=144

`13^(2)`=169

169= 25+144

169=169

According to Pythagoras theorem ,

`p^(2)`+
`b^(2)`=
`h^(2)`

since, it follows Pythagoras theorem,

Hence, it is a Right angle Triangle