anonymous 3 years ago What is the length of the hypotenuse of the right triangle shown below? If necessary, round your answer to the nearest hundredth.

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1. anonymous

???

2. anonymous

can you determine the lengths of the sides?

3. anonymous

huh

4. anonymous

the lengths of the sides means how long each side is

5. anonymous

i'm confused on how to get the answer

6. anonymous

do you know how to determine a length when you have two points ?

7. anonymous

not one bit,

8. anonymous

there are a few ways to do this. but the easiest is just use the distance equation $distance = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$ the points on the hypotenuse of that triangle are (4, 2) and (-5, -3) it looks like so just calculate the distance between those two points

9. anonymous

are you in conexus

10. anonymous

that's the easy way. the other way is to calculate the lengths of the sides separately just by looking at the picture, the length of the top side is 9 and the length of the left side is 5 9^2 + 5^2 = c^2

11. anonymous

i don't know what conexus is but it called graphing data for my work?

12. anonymous

|dw:1359037431903:dw| maybe that will help ?

13. anonymous

25+81? = the answer? or is there more?

14. anonymous

no you have to solve for 'c'

15. anonymous

25 + 81 = c^2

16. anonymous

106^2 =11236 ?

17. anonymous

|dw:1359037636202:dw|

18. anonymous

Ha yeah i don't get this

19. anonymous

this is how you solve for c

20. anonymous

hm. you should review Pythagorean theorem

21. anonymous

10.295630141?

22. anonymous

yes thats right

23. anonymous

do i just put 10.29 though?

24. anonymous

no you'd have to round to the nearest hundredth. it would be 10.30

25. anonymous

because 10.295... rounds up to 10.30, that's why

26. anonymous

Oh, thanks,