Answer:
LMN is not a right triangle.
Step-by-step explanation:
To verify that the lengths of a triangle for a right triangle, all we need to do is to check it they satisfy the Pythagoras Theorem.
Pythagoras Theorem:[tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
The Hypotenuse is always the longest side.
Since no angle is given, the two other sides can be alternated.
Given lengths of triangle LMN: 18.5 inches, 10, inches, and 15.5 inches
[tex]LHS=18.5^2=342.25\\RHS=10^2+15.5^2=100+240.25=340.25\\Since \: LHS\neq RHS,\\$The triangle is not a right triangle.[/tex]
