PLEASE HELP ASAP! 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)

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

DE=√17, EF=√18, FD=√17

distance=√(x2-x1)²+(y2-y1)²

DE : d= √(3-2)²+(5-1)² ⇒ d=√17

EF=√(6-3)²+(2-5)²=√18

FD=√(6-2)²+(2-1)²=√17

slope= m of( DE=4, EF=-1 , FD=1/4)

m=y2-y1/x2-x1

slope of DE=5-1/3-2 = 4

slope of EF=2-5/6-3=-3/3=-1

slope of FD=2-1/6-2=1/4

3- triangle is isosceles triangle , two sides are equal

DE=FD=√17

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x