(04.01 MC) Triangle DEF has vertices located at D (2, 1), E (3, 5), and F (6, 2). Part A: Find the length of each side of the triangle. Show your work. (4 points) Part B: Find the slope of each side of the triangle. Show your work. (3 points) Part C: Classify the triangle. Explain your reasoning. (3 points)

Part A:

The length of segment DE is √(17)

The length of segment DF is √(17)

The length of segment EF is 3·√2

Part B:

The slope of segment DE is 4

The slope of segment DF is 1/4

The slope of segment EF is -1

Part C:

The triangle is an isosceles triangle

Step-by-step explanation:

Part A:

The vertices of the triangle ΔDEF are given as follows;

D(2, 1), E(3, 5), and F(6, 2)

The equation for the length of a segment, l, is given as follows;

The length of segment DE is

The length of segment DF is

The length of segment EF is

Part B:

The slope of a segment, m, is given by the following relation;

The slope of segment DE is given as follows;

The slope of segment DF is given as follows;

The slope of segment EF is given as follows;

Part C:

The triangle is an isosceles triangle because it has two sides that are equal.

addition

step-by-step explanation: