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)

(A)

Length of DE = √17

EF = √18

DF = √17

(B) Slope of DE = 4

EF = 1

DF = 1/4

(C) Isosceles triangle.

Step-by-step explanation:

See attached image.

12 starfish

Step-by-step explanation:

Create a system of equations where x is the number of starfish he has and y is the number of spiders he has:

x + y = 19

5x + 8y = 116

Solve by elimination by multiplying the top equation by -8:

-8x - 8y = -152

5x + 8y = 116

Add these together and solve for x:

-3x = -36

x = 12

So, he has 12 starfish.