Vertices of the triangle located at R(2, 3), S(4, 4), T(5, 0), gives;
Part A:
The lengths of the sides are;
- RS = √5
- RT = 3•√2
- ST = √(17)
Part B;
The slopes are;
- Slope of RS = 1/2
- Slope of RT = -1
- Slope of ST = 4
Part C:
- The triangle is a scalene triangle
<h3>Which method can be used to analyze the triangle?</h3>
Part A: The length of each side can be found using Pythagorean theorem as follows;
Length of RS = √((4 - 2)²+(4 - 3)²) = √5
Length of RT = √((5 - 2)²+(0 - 3)²) = 3•√2
Length of ST = √((4 - 5)²+(4 - 0)²) = √(17)
Part B:
The slope of each side are;
- Slope of RS = (4 - 3)/(4 - 2)= 1/2
- Slope of RT = (0 - 3)/(5 - 2) = -1
- Slope of ST = (4 - 0)/(4 - 5) = 4
Part C: Given that the length of the sides of the triangle are different, (√5, 3•√2, and √(17)), the triangle is a scalene triangle, by definition of scalene triangles.
Learn more about the types of triangles here:
brainly.com/question/14688850
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