Atriangle has side lengths of 11 cm, 60 cm, and 61. which is the correct equation to verify whether the side lengths form a right triangle?
fast !

You would use the Pythagorean Theorem

a^2 + b^2 = c^2

The sides 'a' and 'b' are the legs of the right triangle. The side c is the hypotenuse or the longest side. In this case, the longest side is c = 61. The other two sides are a = 11 and b = 60. The order of 'a' and 'b' does not matter.

Let's use the substitution property to plug in the given values mentioned and we will get...

a^2 + b^2 = c^2

11^2 + 60^2 = 61^2

121 + 3600 = 3721

3721 = 3721

We get the same number on both sides; therefore, the original equation is true when (a,b,c) = (11,60,61).

This all confirms we do have a right triangle. The right angle is opposite the hypotenuse. This is due to the rule that the largest angle of a triangle is always opposite the largest side.

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