Question

given that a triangle LMN has side inches of 18.5 inches, 10, inches, and 15.5 inches, prove triangle LMN is aright triangle.

Answer 1

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:$Hypotenuse^2=Opposite^2+Adjacent^2$

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

$LHS=18.5^2=342.25\\RHS=10^2+15.5^2=100+240.25=340.25\\Since \: LHS\neq RHS,\\ The triangle is not a right triangle.$