The length of the sides of the triangle are; √5, √17 and √18, the slopes are; (1/2), -4 and -1.
<h3>What are the lengths of the sides of the triangle?</h3>
According to coordinates of the vertices given; it follows that the length of each side can be evaluated as follows;
Side RS = √((4-2)² + (4-3)²) = √5
Side ST = √((5-4)² + (0-4)²) = √17
Side TR = √((5-2)² + (0-3)²) = √18
The slopes can be evaluated as;
Slope RS = (4-3)/(4-2) = 1/2
Slope ST = (0-4)/(5-4) = -4
Slope TR = (0-3)/(5-2) = -1.
Since, none of the lines are equal and the slopes do not indicate perpendicular lines, it follows the triangle RST is scalene.
Read more on scalene triangles;
brainly.com/question/16589630
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