Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0). 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)

Step-by-step explanation:

The vertices of the triangle are: R(2,3) , S(4,4) and T(5,0)

The triangle is RST

The sides are:

RS /ST /TR

We will work with vectors to make it easy:

Vector RS (4-2,4-3)=>(2,1)

Vector ST (5-4,0-4)=>(1,-4)

Vector TR (5-2,0-3)=>(3, -3)

Now the distances:

RS= root square( 2^2+1)= r.sq 5

ST= root square (1+4^2)= r.sq 17

TR= root square (3^2+3^2)=r.sq 18

Now part B:

Part B is about drawing

x

step-by-step explanation:

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068